{"id":33625,"date":"2022-04-02T19:16:59","date_gmt":"2022-04-02T13:46:59","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=33625"},"modified":"2022-04-07T11:41:56","modified_gmt":"2022-04-07T06:11:56","slug":"big-ideas-math-algebra-1-answers-chapter-11","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers-chapter-11\/","title":{"rendered":"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays"},"content":{"rendered":"<p>Need an opportunity to become math proficient? Then, this article will help you to turn like that. As this page holds benefitted <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers\/\"><strong>B<\/strong><strong>ig Ideas Math <\/strong><strong>Algebra <\/strong><strong>1 Answers <\/strong><\/a><strong>Chapter 11 Data Analysis and Displays Questions<\/strong> to solve and improve subject knowledge. Students who want to practice all topics from ch 11 Data Analysis and Displays can explore BIM algebra 1 ch 11 solution key pdf. Enhance your math skills with the help of 11.1 to 11.5 Exercises Questions, Practice Tests, Cumulative Assessment, Review Tests, Quiz, etc. involve in the BigIdeas Math Book Algebra 1 Chapter 11 Data Analysis and Displays Solution Key.<\/p>\n<h2 class=\"entry-title\">Big Ideas Math Algebra 1 Textbook Solutions for Chapter 11 Data Analysis and Displays<\/h2>\n<p>Make a great move at the time of your practice sessions or exam preparation by using the ultimate guide of Big Ideas Math Book Algebra 1 Answers Chapter 11 Data Analysis and Displays. This guide can help each and every learner by providing a deep level &amp; step by step explanation about the concepts of Algebra 1 Ch 11. You can also make use of this <strong>BIM Algebra 1 Chapter 11 Data Analysis and Displays<\/strong> as quick revision material during exams.<\/p>\n<p>These solutions are prepared by the subject experts as per the Common Core Curriculum. Click on the direct links available here and start practicing the respective <strong><em>Big Ideas Math Algebra 1 Textbook Answers of Chapter 11<\/em><\/strong> concepts for better knowledge and performance in the annual exams.<\/p>\n<ul>\n<li><a href=\"#Data_Analysis_and_Displays_Maintaining_Mathematical_Proficiency\">Data Analysis and Displays Maintaining Mathematical Proficiency &#8211; Page 583<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Displays_Mathematical_Practices\">Data Analysis and Displays Mathematical Practices &#8211; Page 584<\/a><\/li>\n<li><a href=\"#Lesson_11.1_Measures_of_Center_and_Variation\">Lesson 11.1 Measures of Center and Variation &#8211; Page(586-592)<\/a><\/li>\n<li><a href=\"#Measures_of_Center_and_Variation_11.1_Exercises\">Measures of Center and Variation 11.1 Exercises &#8211; Page(590-592)<\/a><\/li>\n<li><a href=\"#Lesson_11.2_Box-and-Whisker_Plots\">Lesson 11.2 Box-and-Whisker Plots &#8211; Page(594-598)<\/a><\/li>\n<li><a href=\"#Box-and-Whisker_Plots_11.2_Exercises\">Box-and-Whisker Plots 11.2 Exercises &#8211; Page(597-598)<\/a><\/li>\n<li><a href=\"#Lesson_11.3_Shapes_of_Distributions\">Lesson 11.3 Shapes of Distributions &#8211; Page(600-606)<\/a><\/li>\n<li><a href=\"#Shapes_of_Distributions_11.3_Exercises\">Shapes of Distributions 11.3 Exercises &#8211; Page(604-606)<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Displays_Study_Skills:_Studying_for_Finals\">Data Analysis and Displays Study Skills: Studying for Finals &#8211; Page 607<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Displays_1.1\u201311.3_Quiz\">Data Analysis and Displays 11.1\u201311.3 Quiz &#8211; Page 608<\/a><\/li>\n<li><a href=\"#Lesson_11.4_Two-Way_Tables\">Lesson 11.4 Two-Way Tables &#8211; Page(610-616)<\/a><\/li>\n<li><a href=\"#Two-Way_Tables_11.4_Exercises\">Two-Way Tables 11.4 Exercises &#8211; Page(614-616)<\/a><\/li>\n<li><a href=\"#Lesson_11.5_Choosing_a_Data_Display\">Lesson 11.5 Choosing a Data Display &#8211; Page(618-622)<\/a><\/li>\n<li><a href=\"#Choosing_a_Data_Display_11.5_Exercises\">Choosing a Data Display 11.5 Exercises &#8211; Page(621-622)<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Displays_Performance_Task:_College_Students_Study_Time\">Data Analysis and Displays Performance Task: College Students Study Time &#8211; Page &#8211; 623<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Displays_Chapter_Review\">Data Analysis and Displays Chapter Review &#8211; Page(624-626)<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Displays_Chapter_Test\">Data Analysis and Displays Chapter Test &#8211; Page 627<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Displays_Cumulative_Assessment\">Data Analysis and Displays Cumulative Assessment &#8211; Page (628-630)<\/a><\/li>\n<\/ul>\n<h3><a id=\"Data_Analysis_and_Displays_Maintaining_Mathematical_Proficiency\"><\/a>Data Analysis and Displays Maintaining Mathematical Proficiency<\/h3>\n<p>The table shows the results of a survey. Display the data in a histogram.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33652\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 1\" width=\"246\" height=\"108\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33653\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 2\" width=\"236\" height=\"97\" \/><br \/>\nAnswer:<\/p>\n<p>The table shows the results of a survey. Display the data in a circle graph.<br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33654\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 3\" width=\"423\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-3.png 423w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-3-300x39.png 300w\" sizes=\"(max-width: 423px) 100vw, 423px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\n<strong>ABSTRACT REASONING<\/strong><br \/>\nTwenty people respond \u201cyes\u201d or \u201cno\u201d to a survey question. Let a and b represent the frequencies of the responses. What must be true about the sum of a and b? What must be true about the sum when \u201cmaybe\u201d is an option for the response?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Data_Analysis_and_Displays_Mathematical_Practices\"><\/a>Data Analysis and Displays Mathematical Practices<\/h3>\n<p>Mathematically proficient students use diagrams and graphs to show relationships between data. They also analyze data to draw conclusions.<br \/>\nUsing Data Displays<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33655\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-4.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 4\" width=\"491\" height=\"531\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-4.png 491w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-4-277x300.png 277w\" sizes=\"(max-width: 491px) 100vw, 491px\" \/><\/p>\n<p><strong>Monitoring Progress<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33656\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 5\" width=\"259\" height=\"213\" \/><br \/>\nQuestion 1.<br \/>\nThe table shows the estimated populations of males and females by age in the United States in 2012. Use a spreadsheet, graphing calculator, or some other form of technology to make two different displays for the data.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nExplain why you chose each type of data display in Monitoring Progress Question 1. What conclusions can you draw from your data displays?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_11.1_Measures_of_Center_and_Variation\"><\/a>Lesson 11.1 Measures of Center and Variation<\/h3>\n<p><strong>Essential Question<\/strong><br \/>\nHow can you describe the variation of a data set?<\/p>\n<p><strong>EXPLORATION 1<\/strong><br \/>\nDescribing the Variation of Data<br \/>\nWork with a partner. The graphs show the weights of the players on a professional football team and a professional baseball team.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33657\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 1\" width=\"717\" height=\"427\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-1.png 717w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-1-300x179.png 300w\" sizes=\"(max-width: 717px) 100vw, 717px\" \/><br \/>\na. Describe the data in each graph in terms of how much the weights vary from the mean. Explain your reasoning.<br \/>\nb. Compare how much the weights of the players on the football team vary from the mean to how much the weights of the players on the baseball team vary from the mean.<br \/>\nc. Does there appear to be a correlation between the body weights and the positions of players in professional football? in professional baseball? Explain.<br \/>\nAnswer:<\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Describing the Variation of Data<br \/>\nWork with a partner. The weights (in pounds) of the players on a professional basketball team by position are as follows.<br \/>\nPower forwards: 235, 255, 295, 245; small forwards: 235, 235;<br \/>\ncenters: 255, 245, 325; point guards: 205, 185, 205; shooting guards: 205, 215, 185<br \/>\nMake a graph that represents the weights and positions of the players. Does there appear to be a correlation between the body weights and the positions of players in professional basketball? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<p><strong>Communicate Your Answer<\/strong><br \/>\nQuestion 3.<br \/>\nHow can you describe the variation of a data set?<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>WHAT IF?<\/strong><br \/>\nThe park hires another student at an hourly wage of $8.45. (a) How does this additional value affect the mean, median, and mode? Explain. (b) Which measure of center best represents the data? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nThe table shows the annual salaries of the employees of an auto repair service. (a) Identify the outlier. How does the outlier affect the mean, median, and mode? (b) Describe one possible explanation for the outlier.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33658\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 2\" width=\"216\" height=\"141\" \/><br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nAfter the first week, the 25-year-old is voted off Show A and the 48-year-old is voted off Show B. How does this affect the range of the ages of the remaining contestants on each show in Example 3? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nFind the standard deviation of the ages for Show B in Example 3. Interpret your result.<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nCompare the standard deviations for Show A and Show B. What can you conclude?<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nFind the mean, median, mode, range, and standard deviation of the altitudes of the airplanes when each altitude increases by \\(\\frac{1}{2}\\) miles.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33659\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 3\" width=\"227\" height=\"232\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Measures_of_Center_and_Variation_11.1_Exercises\"><\/a>Measures of Center and Variation 11.1 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nIn a data set, what does a measure of center represent? What does a measure of variation describe?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41153\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a1\" width=\"524\" height=\"98\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a1.png 524w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a1-300x56.png 300w\" sizes=\"(max-width: 524px) 100vw, 524px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe how removing an outlier from a data set affects the mean of the data set.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nCreate a data set that has more than one mode.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41154\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a3.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a3\" width=\"494\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a3.png 494w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a3-300x32.png 300w\" sizes=\"(max-width: 494px) 100vw, 494px\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>REASONING<\/strong><br \/>\nWhat is an advantage of using the range to describe a data set? Why do you think the standard deviation is considered a more reliable measure of variation than the range?<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p>In Exercises 5\u20138, (a) Find the mean, median, and mode of the data set and (b) determine which measure of center best represents the data. Explain. (See Example 1.)<br \/>\nQuestion 5.<br \/>\n3, 5, 1, 5, 1, 1, 2, 3, 15<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41155\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a5.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a5\" width=\"508\" height=\"326\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a5.png 508w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a5-300x193.png 300w\" sizes=\"(max-width: 508px) 100vw, 508px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41159\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a13.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a13\" width=\"203\" height=\"271\" \/><\/p>\n<p>Question 6.<br \/>\n12, 9, 17, 15, 10<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n13, 30, 16, 19, 20, 22, 25, 31<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\n14, 15, 3, 15, 14, 14, 18, 15, 8, 16<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe table shows the lengths of nine movies.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33660\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-4.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 4\" width=\"180\" height=\"118\" \/><br \/>\na. Find the mean, median, and mode of the lengths.<br \/>\nb. Which measure of center best represents the data? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41157\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a9.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a9\" width=\"510\" height=\"434\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a9.png 510w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a9-300x255.png 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><\/p>\n<p>Question 10.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe table shows the daily changes in the value of a stock over 12 days.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33661\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 5\" width=\"266\" height=\"109\" \/><br \/>\na. Find the mean, median, and mode of the changes in stock value.<br \/>\nb. Which measure of center best represents the data? Explain.<br \/>\nc. On the 13th day, the value of the stock increases by $4.28. How does this additional value affect the mean, median, and mode? Explain.<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 11\u201314, find the value of x.<\/strong><br \/>\nQuestion 11.<br \/>\n2, 8, 9, 7, 6, x; The mean is 6.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41158\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a11.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a11\" width=\"303\" height=\"260\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a11.png 303w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a11-300x257.png 300w\" sizes=\"(max-width: 303px) 100vw, 303px\" \/><\/p>\n<p>Question 12.<br \/>\n12.5, -10, -7.5, x; The mean is 11.5.<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n9, 10, 12, x, 20, 25; The median is 14.<br \/>\nAnswer:<\/p>\n<p>Question 14.<br \/>\n30, 45, x, 100; The median is 51.<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe table shows the masses of eight polar bears. (See Example 2.)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33662\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-6.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 6\" width=\"271\" height=\"84\" \/><br \/>\na. Identify the outlier. How does the outlier affect the mean, median, and mode?<br \/>\nb. Describe one possible explanation for the outlier.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41160\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a15.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a15.1\" width=\"507\" height=\"610\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a15.1.png 507w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a15.1-249x300.png 249w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41161\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a15.2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a15.2\" width=\"512\" height=\"172\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a15.2.png 512w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a15.2-300x101.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/p>\n<p>Question 16.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe sizes of emails (in kilobytes) in your inbox are 2, 3, 5, 2, 1, 46, 3, 7, 2, and 1.<br \/>\na. Identify the outlier. How does the outlier affect the mean, median, and mode?<br \/>\nb. Describe one possible explanation for the outlier.<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe scores of two golfers are shown. Find the range of the scores for each golfer. Compare your results. (See Example 3.)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33663\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 7\" width=\"171\" height=\"158\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41162\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a17.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a17\" width=\"487\" height=\"203\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a17.png 487w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a17-300x125.png 300w\" sizes=\"(max-width: 487px) 100vw, 487px\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe graph shows a player\u2019s monthly home run totals in two seasons. Find the range of the number of home runs for each season. Compare your results.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33664\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-8.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 8\" width=\"278\" height=\"266\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 19\u201322, find (a) the range and (b) the standard deviation of the data set.<\/strong><br \/>\nQuestion 19.<br \/>\n40, 35, 45, 55, 60<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41163\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a19.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a19\" width=\"414\" height=\"461\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a19.png 414w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a19-269x300.png 269w\" sizes=\"(max-width: 414px) 100vw, 414px\" \/><\/p>\n<p>Question 20.<br \/>\n141, 116, 117, 135, 126, 121<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n0.5, 2.0, 2.5, 1.5, 1.0, 1.5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41164\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a21.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a21\" width=\"445\" height=\"518\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a21.png 445w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a21-258x300.png 258w\" sizes=\"(max-width: 445px) 100vw, 445px\" \/><\/p>\n<p>Question 22.<br \/>\n8.2, 10.1, 2.6, 4.8, 2.4, 5.6, 7.0, 3.3<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nConsider the data in Exercise 17.<br \/>\na. Find the standard deviation of the scores of Golfer A. Interpret your result.<br \/>\nb. Find the standard deviation of the scores of Golfer B. Interpret your result.<br \/>\nc. Compare the standard deviations for Golfer A and Golfer B. What can you conclude?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41166\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a23.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a23.1\" width=\"545\" height=\"601\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a23.1.png 545w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a23.1-272x300.png 272w\" sizes=\"(max-width: 545px) 100vw, 545px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41167\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a23.2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a23.2\" width=\"613\" height=\"525\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a23.2.png 613w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a23.2-300x257.png 300w\" sizes=\"(max-width: 613px) 100vw, 613px\" \/><\/p>\n<p>Question 24.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nConsider the data in Exercise 18.<br \/>\na. Find the standard deviation of the monthly home run totals in the player\u2019s rookie season. Interpret your result.<br \/>\nb. Find the standard deviation of the monthly home run totals in this season. Interpret your result.<br \/>\nc. Compare the standard deviations for the rookie season and this season. What can you conclude?<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 25 and 26, find the mean, median, and mode of the data set after the given transformation.<\/strong><br \/>\nQuestion 25.<br \/>\nIn Exercise 5, each data value increases by 4.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41168\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a25.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a25\" width=\"516\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a25.png 516w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a25-300x85.png 300w\" sizes=\"(max-width: 516px) 100vw, 516px\" \/><\/p>\n<p>Question 26.<br \/>\nIn Exercise 6, each data value increases by 20%.<br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<strong>TRANSFORMING DATA<\/strong><br \/>\nFind the values of the measures shown when each value in the data set increases by 14.<br \/>\nMean: 62<br \/>\nMedian: 55<br \/>\nMode: 49<br \/>\nRange: 46<br \/>\nStandard deviation: 15.5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41169\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a27.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a27\" width=\"520\" height=\"176\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a27.png 520w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a27-300x102.png 300w\" sizes=\"(max-width: 520px) 100vw, 520px\" \/><\/p>\n<p>Question 28.<br \/>\n<strong>TRANSFORMING DATA<\/strong><br \/>\nFind the values of the measures shown when each value in the data set is multiplied by 0.5.<br \/>\nMean: 320<br \/>\nMedian: 300<br \/>\nMode: none<br \/>\nRange: 210<br \/>\nStandard deviation: 70.6<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in finding the median of the data set.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33665\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 9\" width=\"245\" height=\"73\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41170\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a29.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a29\" width=\"506\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a29.png 506w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a29-300x87.png 300w\" sizes=\"(max-width: 506px) 100vw, 506px\" \/><\/p>\n<p>Question 30.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in finding the range of the data set after the given transformation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33666\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-10.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 10\" width=\"279\" height=\"111\" \/><br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nIn a bowling match, the team with the greater mean score wins. The scores of the members of two bowling teams are shown.<br \/>\nTeam A: 172, 130, 173, 212<br \/>\nTeam B: 136, 184, 168, 192<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33667\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 11\" width=\"150\" height=\"221\" \/><br \/>\na. Which team wins the match? If the team with the greater median score wins, is the result the same? Explain.<br \/>\nb. Which team is more consistent? Explain.<br \/>\nc. In another match between the two teams, all the members of Team A increase their scores by 15 and all the members of Team B increase their scores by 12.5%. Which team wins this match? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41171\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a31.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a31.1\" width=\"586\" height=\"618\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a31.1.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a31.1-284x300.png 284w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41172\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a31.2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a31.2\" width=\"594\" height=\"577\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a31.2.png 594w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a31.2-300x291.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/p>\n<p>Question 32.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nYour friend says that when two data sets have the same range, you can assume the data sets have the same standard deviation, because both range and standard deviation are measures of variation. Is your friend correct? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe table shows the results of a survey that asked 12 students about their favorite meal. Which measure of center (mean, median, or mode) can be used to describe the data? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33668\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-12.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 12\" width=\"315\" height=\"103\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-12.png 315w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-12-300x98.png 300w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41173\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a33.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a33\" width=\"541\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a33.png 541w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a33-300x31.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>Question 34.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nThe dot plots show the ages of the members of three different adventure clubs. Without performing calculations, which data set has the greatest standard deviation? Which has the least standard deviation? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33669\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 13\" width=\"274\" height=\"330\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-13.png 274w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-13-249x300.png 249w\" sizes=\"(max-width: 274px) 100vw, 274px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\n<strong>REASONING<\/strong><br \/>\nA data set is described by the measures shown.<br \/>\nMean: 27<br \/>\nMedian: 32<br \/>\nMode: 18<br \/>\nRange: 41<br \/>\nStandard deviation: 9<br \/>\nFind the mean, median, mode, range, and standard deviation of the data set when each data value is multiplied by 3 and then increased by 8.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41174\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a35.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a35\" width=\"513\" height=\"232\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a35.png 513w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a35-300x136.png 300w\" sizes=\"(max-width: 513px) 100vw, 513px\" \/><\/p>\n<p>Question 36.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nCan the standard deviation of a data set be 0? Can it be negative? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 37.<br \/>\n<strong>USING TOOLS<\/strong><br \/>\nMeasure the heights (in inches) of the students in your class.<br \/>\na. Find the mean, median, mode, range, and standard deviation of the heights.<br \/>\nb. A new student who is 7 feet tall joins your class. How would you expect this student\u2019s height to affect the measures in part (a)? Verify your answer.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41175\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a37.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a37\" width=\"527\" height=\"127\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a37.png 527w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a37-300x72.png 300w\" sizes=\"(max-width: 527px) 100vw, 527px\" \/><\/p>\n<p>Question 38.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nTo find the arithmetic mean of n numbers, divide the sum of the numbers by n. To find the geometric mean of n numbers a<sub>1<\/sub>, a<sub>2<\/sub>, a<sub>3<\/sub>, . . . , a<sub>n<\/sub>, take the nth root of the product of the numbers.<br \/>\ngeometric mean = \\(\\sqrt[n]{a_{1} \\cdot a_{2} \\cdot a_{3} \\cdot \\ldots \\cdot a_{n}}\\)<br \/>\nCompare the arithmetic mean to the geometric mean of n numbers.<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe circle graph shows the distribution of the ages of 200 students in a college Psychology I class.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33670\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.1-14.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.1 14\" width=\"243\" height=\"195\" \/><br \/>\na. Find the mean, median, and mode of the students\u2019 ages.<br \/>\nb. Identify the outliers. How do the outliers affect the mean, median, and mode?<br \/>\nc. Suppose all 200 students take the same Psychology II class exactly 1 year later. Draw a new circle graph that shows the distribution of the ages of this class and find the mean, median, and mode of the students\u2019 ages.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41176\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a39.1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a39.1\" width=\"589\" height=\"599\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a39.1.png 589w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a39.1-295x300.png 295w\" sizes=\"(max-width: 589px) 100vw, 589px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41177\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a39.2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a39.2\" width=\"596\" height=\"519\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a39.2.png 596w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a39.2-300x261.png 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Solve the inequality.(Section 2.4)<br \/>\nQuestion 40.<br \/>\n6x + 1 \u2264 4x &#8211; 9<br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\n-3(3y &#8211; 2) &lt; 1 &#8211; 9y<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41178\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a41.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a41\" width=\"488\" height=\"206\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a41.png 488w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a41-300x127.png 300w\" sizes=\"(max-width: 488px) 100vw, 488px\" \/><\/p>\n<p>Question 42.<br \/>\n2(5c &#8211; 4) \u2265 5(2c + 8)<br \/>\nAnswer:<\/p>\n<p>Question 43.<br \/>\n4(3 &#8211; w) &gt; 3(4w &#8211; 4)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41179\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a43.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a43\" width=\"273\" height=\"361\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a43.png 273w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a43-227x300.png 227w\" sizes=\"(max-width: 273px) 100vw, 273px\" \/><\/p>\n<p>Evaluate the function for the given value of x.(Section 6.3)<br \/>\nQuestion 44.<br \/>\nf(x) &#8211; 4<sup>x<\/sup>; x = 3<br \/>\nAnswer:<\/p>\n<p>Question 45.<br \/>\nf(x) = 7<sup>x<\/sup>; x = -2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41180\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a45.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a45\" width=\"256\" height=\"200\" \/><\/p>\n<p>Question 46.<br \/>\nf(x) = 5(2)<sup>x<\/sup>; x = 6<br \/>\nAnswer:<\/p>\n<p>Question 47.<br \/>\nf(x) = -2(3)<sup>x<\/sup>; x = 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41181\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.1-a47.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.1 a47\" width=\"259\" height=\"154\" \/><\/p>\n<h3><a id=\"Lesson_11.2_Box-and-Whisker_Plots\"><\/a>Lesson 11.2 Box-and-Whisker Plots<\/h3>\n<p><strong>Essential Question<\/strong> How can you use a box-and-whisker plot to describe a data set?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Drawing a Box-and-Whisker Plot<br \/>\nWork with a partner. The numbers of first cousins of the students in a ninth-grade class are shown. A box-and-whisker plot is one way to represent the data visually.<br \/>\na. Order the data on a strip of grid paper with 24 equally spaced boxes. Fold the paper in half to find the median.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33720\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-1.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 1\" width=\"690\" height=\"137\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-1.png 690w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-1-300x60.png 300w\" sizes=\"(max-width: 690px) 100vw, 690px\" \/><br \/>\nb. Fold the paper in half again to divide the data into four groups. Because there are 24 numbers in the data set, each group should have 6 numbers. Find the least value, the greatest value, the first quartile, and the third quartile.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33721\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-2.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 2\" width=\"475\" height=\"91\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-2.png 475w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-2-300x57.png 300w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/><br \/>\nc. Explain how the box-and-whisker plot shown represents the data set.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33722\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-3.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 3\" width=\"501\" height=\"154\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-3.png 501w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-3-300x92.png 300w\" sizes=\"(max-width: 501px) 100vw, 501px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>CommunicateYour Answer<\/strong><\/p>\n<p>Question 2.<br \/>\nHow can you use a box-and-whisker plot to describe a data set?<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nInterpret each box-and-whisker plot.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33723\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-4.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 4\" width=\"227\" height=\"148\" \/><br \/>\na. body mass indices (BMI) of students in a ninth-grade class<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33724\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-5.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 5\" width=\"454\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-5.png 454w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-5-300x54.png 300w\" sizes=\"(max-width: 454px) 100vw, 454px\" \/><br \/>\nb. heights of roller coasters at an amusement park<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33725\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-6.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 6\" width=\"460\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-6.png 460w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-6-300x51.png 300w\" sizes=\"(max-width: 460px) 100vw, 460px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Question 1.<br \/>\nA basketball player scores 14, 16, 20, 5, 22, 30, 16, and 28 points during a tournament. Make a box-and-whisker plot that represents the data.<br \/>\nAnswer:<\/p>\n<p>Use the box-and-whisker plot in Example 1.<br \/>\nQuestion 2.<br \/>\nFind and interpret the range and interquartile range of the data.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nDescribe the distribution of the data.<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nThe double box-and-whisker plot represents the surfboard prices at Shop A and Shop B. Identify the shape of each distribution. Which shop\u2019s prices are more spread out? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33726\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-7.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 7\" width=\"502\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-7.png 502w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-7-300x57.png 300w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Box-and-Whisker_Plots_11.2_Exercises\"><\/a>Box-and-Whisker Plots 11.2 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe how to find the first quartile of a data set.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41182\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 1\" width=\"591\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-1.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-1-300x42.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>DIFFERENT WORDS, SAME QUESTION<\/strong><br \/>\nConsider the box-and-whisker plot shown. Which is different? Find \u201cboth\u201d answers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33727\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-8.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 8\" width=\"650\" height=\"169\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-8.png 650w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-8-300x78.png 300w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p><strong>In Exercises 3\u20138, use the box-and-whisker plot to find the given measure.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-9.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 9\" width=\"317\" height=\"77\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-9.png 317w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-9-300x73.png 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><br \/>\nQuestion 3.<br \/>\nleast value<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41183\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 3\" width=\"199\" height=\"30\" \/><\/p>\n<p>Question 4.<br \/>\ngreatest value<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nthird quartile<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41184\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 5\" width=\"227\" height=\"35\" \/><\/p>\n<p>Question 6.<br \/>\nfirst quartile<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nmedian<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41185\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 7\" width=\"179\" height=\"31\" \/><\/p>\n<p>Question 8.<br \/>\nrange<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 9\u201312, make a box-and-whisker plot that represents the data.<\/strong><br \/>\nQuestion 9.<br \/>\nHours of television watched: 0, 3, 4, 5, 2, 4, 6, 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41186\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 9\" width=\"578\" height=\"484\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-9.png 578w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-9-300x251.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p>Question 10.<br \/>\nCat lengths (in inches): 16, 18, 20, 25, 17, 22, 23, 21<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nElevations (in feet): -2, 0, 5, -4, 1, -3, 2, 0, 2, -3, 6<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41187\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-11.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 11\" width=\"635\" height=\"460\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-11.png 635w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-11-300x217.png 300w\" sizes=\"(max-width: 635px) 100vw, 635px\" \/><\/p>\n<p>Question 12.<br \/>\nMP3 player prices (in dollars): 124, 95, 105, 110, 95, 124, 300, 190, 114<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe dot plot represents the numbers of hours students spent studying for an exam. Make a box-and-whisker plot that represents the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33729\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-10.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 10\" width=\"321\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-10.png 321w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-10-300x93.png 300w\" sizes=\"(max-width: 321px) 100vw, 321px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41188\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-13.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 13\" width=\"666\" height=\"488\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-13.png 666w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-13-300x220.png 300w\" sizes=\"(max-width: 666px) 100vw, 666px\" \/><\/p>\n<p>Question 14.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe stem-and-leaf plot represents the lengths (in inches) of the fish caught on a fishing trip. Make a box-and-whisker plot that represents the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33730\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-11.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 11\" width=\"302\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-11.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-11-300x179.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe box-and-whisker plot represents the prices (in dollars) of the entr\u00e9es at a restaurant.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33731\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-12.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 12\" width=\"329\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-12.png 329w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-12-300x76.png 300w\" sizes=\"(max-width: 329px) 100vw, 329px\" \/><br \/>\na. Find and interpret the range of the data.<br \/>\nb. Describe the distribution of the data.<br \/>\nc. Find and interpret the interquartile range of the data.<br \/>\nd. Are the data more spread out below Q1 or above or Q3? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41189\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-15.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 15\" width=\"582\" height=\"301\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-15.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-15-300x155.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 16.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nA baseball player scores 101 runs in a season. The box-and-whisker plot represents the numbers of runs the player scores against different opposing teams.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33732\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-13.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 13\" width=\"304\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-13.png 304w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-13-300x78.png 300w\" sizes=\"(max-width: 304px) 100vw, 304px\" \/><br \/>\na. Find and interpret the range and interquartile range of the data.<br \/>\nb. Describe the distribution of the data. c. Are the data more spread out between Q1 and Q2 or between Q2 and Q3? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe double box-and-whisker plot represents the monthly car sales for a year for two sales representatives.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33733\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-14.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 14\" width=\"318\" height=\"106\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-14.png 318w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-14-300x100.png 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><br \/>\na. Identify the shape of each distribution.<br \/>\nb. Which representative\u2019s sales are more spread out? Explain.<br \/>\nc. Which representative had the single worst sales month during the year? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41190\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-17.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 17\" width=\"582\" height=\"351\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-17.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-17-300x181.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nDescribe and correct the error in describing the box-and-whisker plot.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33734\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-15.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 15\" width=\"321\" height=\"164\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-15.png 321w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-15-300x153.png 300w\" sizes=\"(max-width: 321px) 100vw, 321px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>WRITING<\/strong><br \/>\nGiven the numbers 36 and 12, identify which number is the range and which number is the interquartile range of a data set. Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41191\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-19.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 19\" width=\"570\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-19.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-19-300x32.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nThe box-and-whisker plot represents a data set. Determine whether each statement is always true. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33735\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-16.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 16\" width=\"308\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-16.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-16-300x73.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><br \/>\na. The data set contains the value 11.<br \/>\nb. The data set contains the value 6.<br \/>\nc. The distribution is skewed right.<br \/>\nd. The mean of the data is 5.<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe double box-and-whisker plot represents the battery lives (in hours) of two brands of cell phones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33736\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-17.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 17\" width=\"322\" height=\"105\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-17.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-17-300x98.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\na. Identify the shape of each distribution.<br \/>\nb. What is the range of the upper 75% of each brand?<br \/>\nc. Compare the interquartile ranges of the two data sets.<br \/>\nd. Which brand do you think has a greater standard deviation? Explain.<br \/>\ne. You need a cell phone that has a battery life of more than 3.5 hours most of the time. Which brand should you buy? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41192\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-21.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 21\" width=\"589\" height=\"447\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-21.png 589w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-21-300x228.png 300w\" sizes=\"(max-width: 589px) 100vw, 589px\" \/><\/p>\n<p>Question 22.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nCreate a data set that can be represented by the box-and-whisker plot shown. Justify your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33737\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-18.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.2 18\" width=\"313\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-18.png 313w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.2-18-300x72.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nTwo data sets have the same median, the same interquartile range, and the same range. Is it possible for the box-and-whisker plots of the data sets to be different? Justify your answer.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41193\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-23.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 23\" width=\"590\" height=\"330\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-23.png 590w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-23-300x168.png 300w\" sizes=\"(max-width: 590px) 100vw, 590px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Use zeros to graph the function. (Section 8.5)<br \/>\nQuestion 24.<br \/>\nf(x) = -2(x + 9)(x &#8211; 3)<br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\ny = 3(x &#8211; 5)(x + 5)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41194\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-25.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 25\" width=\"579\" height=\"566\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-25.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-25-300x293.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>Question 26.<br \/>\ny = 4x<sup>2<\/sup> &#8211; 16x = 48<br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\nh(x) = -x<sup>2<\/sup> + 5x + 14<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41195\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-27.1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 27.1\" width=\"586\" height=\"451\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-27.1.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-27.1-300x231.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41196\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-27.2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays 11.2 a 27.2\" width=\"301\" height=\"304\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-27.2.png 301w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-27.2-297x300.png 297w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-11.2-a-27.2-150x150.png 150w\" sizes=\"(max-width: 301px) 100vw, 301px\" \/><\/p>\n<h3><a id=\"Lesson_11.3_Shapes_of_Distributions\"><\/a>Lesson 11.3 Shapes of Distributions<\/h3>\n<p><strong>Essential Question<\/strong> How can you use a histogram to characterize the basic shape of a distribution?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Analyzing a Famous Symmetric Distribution<br \/>\nWork with a partner. A famous data set was collected in Scotland in the mid-1800s. It contains the chest sizes, measured in inches, of 5738 men in the Scottish Militia. Estimate the percent of the chest sizes that lie within (a) 1 standard deviation of the mean, (b) 2 standard deviations of the mean, and (c) 3 standard deviations of the mean. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33627\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 1\" width=\"274\" height=\"270\" \/><br \/>\nAnswer:<\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Comparing Two Symmetric Distributions<br \/>\nWork with a partner. The graphs show the distributions of the heights of 250 adult American males and 250 adult American females.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33628\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 2\" width=\"661\" height=\"191\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-2.png 661w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-2-300x87.png 300w\" sizes=\"(max-width: 661px) 100vw, 661px\" \/><br \/>\nAnswer:<br \/>\na. Which data set has a smaller standard deviation? Explain what this means in the context of the problem.<br \/>\nb. Estimate the percent of male heights between 67 inches and 73 inches.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33629\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-3.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 3\" width=\"231\" height=\"201\" \/><br \/>\nAnswer:<\/p>\n<p><strong>CommunicateYour Answer<\/strong><br \/>\nQuestion 3.<br \/>\nHow can you use a histogram to characterize the basic shape of a distribution?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nAll three distributions in Explorations 1 and 2 are roughly symmetric. The histograms are called \u201cbell-shaped.\u201d<br \/>\na. What are the characteristics of a symmetric distribution?<br \/>\nb.Why is a symmetric distribution called \u201cbell-shaped?\u201d<br \/>\nc. Give two other real-life examples of symmetric distributions.Shapes of Distributions.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Question 1.<br \/>\nThe frequency table shows the numbers of pounds of aluminum cans collected by classes for a fundraiser. Display the data in a histogram. Describe the shape of the distribution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33630\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-4.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 4\" width=\"200\" height=\"193\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nYou record the numbers of email attachments sent by 30 employees of a company in 1 week. Your results are shown in the table. (a) Display the data in a histogram using six intervals beginning with 1\u201320. (b) Which measures of center and variation best represent the data? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33631\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-5.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 5\" width=\"225\" height=\"172\" \/><br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nCompare the distributions using their shapes and appropriate measures of center and variation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33632\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-6.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 6\" width=\"475\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-6.png 475w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-6-300x112.png 300w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nWhy is the mean greater than the median for the men?<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nIf 50 more women are surveyed, about how many more would you expect to own between 10 and 18 pairs of shoes?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Shapes_of_Distributions_11.3_Exercises\"><\/a>Shapes of Distributions 11.3 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nDescribe how data are distributed in a symmetric distribution, a distribution that is skewed left, and a distribution that is skewed right.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41197\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 1\" width=\"568\" height=\"114\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-1.png 568w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-1-300x60.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WRITING<\/strong><br \/>\nHow does the shape of a distribution help you decide which measures of center and variation best describe the data?<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p>Question 3.<br \/>\n<strong>DESCRIBING DISTRIBUTIONS<\/strong><br \/>\nThe frequency table shows the numbers of hours that students volunteer per month. Display the data in a histogram. Describe the shape of the distribution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33633\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-7.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 7\" width=\"364\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-7.png 364w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-7-300x82.png 300w\" sizes=\"(max-width: 364px) 100vw, 364px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41198\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-3.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 1\" width=\"562\" height=\"433\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-3.png 562w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-3-300x231.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>DESCRIBING DISTRIBUTIONS<\/strong><br \/>\nThe frequency table shows the results of a survey that asked people how many hours they spend online per week. Display the data in a histogram. Describe the shape of the distribution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33634\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-8.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 8\" width=\"334\" height=\"224\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-8.png 334w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-8-300x201.png 300w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><br \/>\nAnswer:<\/p>\n<p>In Exercises 5 and 6, describe the shape of the distribution of the data. Explain your reasoning.<br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33635\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-9.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 9\" width=\"324\" height=\"168\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-9.png 324w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-9-300x156.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41199\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-5.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 5\" width=\"545\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-5.png 545w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-5-300x48.png 300w\" sizes=\"(max-width: 545px) 100vw, 545px\" \/><\/p>\n<p>In Exercises 7 and 8, determine which measures of center and variation best represent the data. Explain your reasoning.<br \/>\nQuestion 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33636\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-10.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 10\" width=\"273\" height=\"158\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41200\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-7.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 7\" width=\"561\" height=\"118\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-7.png 561w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-7-300x63.png 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33637\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-12.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 12\" width=\"265\" height=\"160\" \/><br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nThe table shows the last 24 ATM withdrawals at a bank.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33638\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-13.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 13\" width=\"157\" height=\"231\" \/><br \/>\na. Display the data in a histogram using seven intervals beginning with 26\u201350.<br \/>\nb. Which measures of center and variation best represent the data? Explain.<br \/>\nc. The bank charges a fee for any ATM withdrawal less than $150. How would you interpret the data?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41201\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-9.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 9.1\" width=\"426\" height=\"638\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-9.1.png 426w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-9.1-200x300.png 200w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41202\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-9.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 9.2\" width=\"561\" height=\"204\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-9.2.png 561w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-9.2-300x109.png 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>Question 10.<br \/>\n<strong>ANALYZING DATA<\/strong><br \/>\nMeasuring an IQ is an inexact science. However, IQ scores have been around for years in an attempt to measure human intelligence. The table shows some of the greatest known IQ scores.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33639\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-14.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 14\" width=\"168\" height=\"181\" \/><br \/>\na. Display the data in a histogram using five intervals beginning with 151\u2013166.<br \/>\nb. Which measures of center and variation best represent the data? Explain.<br \/>\nc. The distribution of IQ scores for the human population is symmetric. What happens to the shape of the distribution in part (a) as you include more and more IQ scores from the human population in the data set?<br \/>\nAnswer:<\/p>\n<p><strong>ERROR ANALYSIS<\/strong> In Exercises 11 and 12, describe and correct the error in the statements about the data displayed in the histogram.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33640\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-15.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 15\" width=\"295\" height=\"156\" \/><br \/>\nQuestion 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33641\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-16.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 16\" width=\"312\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-16.png 312w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-16-300x77.png 300w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41203\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-11.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 11\" width=\"535\" height=\"121\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-11.png 535w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-11-300x68.png 300w\" sizes=\"(max-width: 535px) 100vw, 535px\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33642\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-17.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 17\" width=\"323\" height=\"101\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-17.png 323w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-17-300x94.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n<strong>USING TOOLS<\/strong><br \/>\nFor a large data set, would you use a stem-and-leaf plot or a histogram to show the distribution of the data? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41204\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-13.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 13\" width=\"580\" height=\"109\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-13.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-13-300x56.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 14.<br \/>\n<strong>REASONING<\/strong><br \/>\nFor a symmetric distribution, why is the mean used to describe the center and the standard deviation used to describe the variation? For a skewed distribution, why is the median used to describe the center and the \ue03d ve-number summary used to describe the variation?<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<strong>COMPARING DATA SETS<\/strong><br \/>\nThe double histogram shows the distributions of daily high temperatures for two towns over a 50-day period. Compare the distributions using their shapes and appropriate measures of center and variation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33643\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-18.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 18\" width=\"284\" height=\"365\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-18.png 284w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-18-233x300.png 233w\" sizes=\"(max-width: 284px) 100vw, 284px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41205\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-15.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 15\" width=\"584\" height=\"504\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-15.png 584w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-15-300x259.png 300w\" sizes=\"(max-width: 584px) 100vw, 584px\" \/><\/p>\n<p>Question 16.<br \/>\n<strong>COMPARING DATA SETS<\/strong><br \/>\nThe frequency tables show the numbers of entr\u00e9es in certain price ranges (in dollars) at two different restaurants. Display the data in a double histogram. Compare the distributions using their shapes and appropriate measures of center and variation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33644\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-19.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 19\" width=\"334\" height=\"218\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-19.png 334w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-19-300x196.png 300w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nDescribe a real-life data set that has a distribution that is skewed right.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41206\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-17.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 17\" width=\"580\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-17.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-17-300x29.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nDescribe a real-life data set that has a distribution that is skewed left.<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>COMPARING DATA SETS<\/strong><br \/>\nThe table shows the results of a survey that asked freshmen and sophomores how many songs they have downloaded on their MP3 players.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33645\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-20.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 20\" width=\"333\" height=\"211\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-20.png 333w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-20-300x190.png 300w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><br \/>\na. Make a double box-and-whisker plot that represents the data. Describe the shape of each distribution.<br \/>\nb. Compare the number of songs downloaded by freshmen to the number of songs downloaded by sophomores.<br \/>\nc. About how many of the freshmen surveyed would you expect to have between 730 and 1570 songs downloaded on their MP3 players?<br \/>\nd. If you survey100 more freshmen, about how many would you expect to have downloaded between 310 and 1990 songs on their MP3 players?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41207\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-19.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 19.1\" width=\"632\" height=\"470\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-19.1.png 632w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-19.1-300x223.png 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41208\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-19.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 19.2\" width=\"636\" height=\"407\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-19.2.png 636w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-19.2-300x192.png 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>COMPARING DATA SETS<\/strong><br \/>\nYou conduct the same survey as in Exercise 19 but use a different group of freshmen. The results are as follows.Survey size: 60; minimum: 200; maximum: 2400; 1st quartile: 640; median: 1670; 3rd quartile: 2150; mean: 1480; standard deviation: 500<br \/>\na. Compare the number of songs downloaded by this group of freshmen to the number of songs downloaded by sophomores.<br \/>\nb. Why is the median greater than the mean for this group of freshmen?<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n<strong>REASONING<\/strong><br \/>\nA data set has a symmetric distribution. Every value in the data set is doubled. Describe the shape of the new distribution. Are the measures of center and variation affected? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41209\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-21.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 21\" width=\"547\" height=\"111\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-21.png 547w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-21-300x61.png 300w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><\/p>\n<p>Question 22.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nMatch the distribution with the corresponding box-and-whisker plot.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33646\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-21.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 21\" width=\"337\" height=\"377\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-21.png 337w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-21-268x300.png 268w\" sizes=\"(max-width: 337px) 100vw, 337px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<strong>REASONING<\/strong><br \/>\nYou record the following waiting times at a restaurant.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33647\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-22.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 22\" width=\"361\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-22.png 361w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-22-300x66.png 300w\" sizes=\"(max-width: 361px) 100vw, 361px\" \/><br \/>\na. Display the data in a histogram using five intervals beginning with 0\u20139. Describe the shape of the distribution.<br \/>\nb. Display the data in a histogram using 10 intervals beginning with 0\u20134. What happens when the number of intervals is increased?<br \/>\nc. Which histogram best represents the data? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41210\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-23.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 23.1\" width=\"722\" height=\"367\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-23.1.png 722w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-23.1-300x152.png 300w\" sizes=\"(max-width: 722px) 100vw, 722px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41211\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-23.2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 23.2\" width=\"721\" height=\"622\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-23.2.png 721w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-23.2-300x259.png 300w\" sizes=\"(max-width: 721px) 100vw, 721px\" \/><\/p>\n<p>Question 24.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nThe shape of a bimodal distribution is shown. Describe a real-life example of a bimodal distribution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33648\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-23.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 23\" width=\"141\" height=\"116\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Find the domain of the function.(Section 10.1)<br \/>\nQuestion 25.<br \/>\nf(x) = \\(\\sqrt{x+6}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41212\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-25.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 25 width=\" height=\"145\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-25.png 398w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-25-300x109.png 300w\" sizes=\"(max-width: 398px) 100vw, 398px\" \/><\/p>\n<p>Question 26.<br \/>\nf(x) = \\(\\sqrt{2x}\\)<br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\nf(x) = \\(\\frac{1}{4} \\sqrt{x-7}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41213\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-27.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.3 a 27\" width=\"369\" height=\"139\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-27.png 369w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.3-a-27-300x113.png 300w\" sizes=\"(max-width: 369px) 100vw, 369px\" \/><\/p>\n<h3><a id=\"Data_Analysis_and_Displays_Study_Skills:_Studying_for_Finals\"><\/a>Data Analysis and Displays Study Skills: Studying for Finals<\/h3>\n<p><strong>11.1\u201311.3What Did YouLearn?<\/strong><br \/>\nCore Vocabulary<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33649\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-24.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 24\" width=\"655\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-24.png 655w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-24-300x41.png 300w\" sizes=\"(max-width: 655px) 100vw, 655px\" \/><\/p>\n<p>Core Concepts<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33650\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-25.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 25\" width=\"663\" height=\"190\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-25.png 663w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-25-300x86.png 300w\" sizes=\"(max-width: 663px) 100vw, 663px\" \/><\/p>\n<p><strong>Mathematical Practices<\/strong><br \/>\nQuestion 1.<br \/>\nExercises 15 and 16 on page 590 are similar. For each data set, is the outlier much greater than or much less than the rest of the data values? Compare how the outliers affect the means. Explain why this makes sense.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nIn Exercise 18 on page 605, provide a possible reason for why the distribution is skewed left.<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-33651\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-26.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays 11.3 26\" width=\"789\" height=\"335\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-26.png 789w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-26-300x127.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-11.3-26-768x326.png 768w\" sizes=\"(max-width: 789px) 100vw, 789px\" \/><\/p>\n<h3><a id=\"Data_Analysis_and_Displays_1.1\u201311.3_Quiz\"><\/a>Data Analysis and Displays 1.1\u201311.3 Quiz<\/h3>\n<p>Find the mean, median, and mode of the data set. Which measure of center best represents the data? Explain.(Section 11.1)<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33695\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays q 1\" width=\"196\" height=\"102\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33696\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays q 2\" width=\"200\" height=\"109\" \/><br \/>\nAnswer:<\/p>\n<p>Find the range and standard deviation of each data set. Then compare your results.(Section 11.1)<br \/>\nQuestion 3.<br \/>\nAbsent students during a week of school<br \/>\nFemale: 6, 2, 4, 3, 4<br \/>\nMale: 5, 3, 6, 6, 9<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nNumbers of points scored<br \/>\nJuniors: 19, 15, 20, 10, 14, 21, 18, 15<br \/>\nSeniors: 22, 19, 29, 32, 15, 26, 30, 19<br \/>\nAnswer:<\/p>\n<p>Make a box-and-whisker plot that represents the data.(Section 11.2)<br \/>\nQuestion 5.<br \/>\nAges of family members:<br \/>\n60, 15, 25, 20, 55, 70, 40, 30<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nMinutes of violin practice:<br \/>\n20, 50, 60, 40, 40, 30, 60, 40, 50, 20, 20, 35<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nDisplay the data in a histogram. Describe the shape of the distribution. (Section 11.3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33698\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-7.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays q 7\" width=\"408\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-7.png 408w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-7-300x50.png 300w\" sizes=\"(max-width: 408px) 100vw, 408px\" \/><\/p>\n<p>Question 8.<br \/>\nThe table shows the prices of eight mountain bikes in a sporting goods store. (Section 11.1 and Section 11.2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33699\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-8.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays q 8.1\" width=\"596\" height=\"45\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-8.1.png 596w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-8.1-300x23.png 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><br \/>\na. Find the mean, median, mode, range, and standard deviation of the prices.<br \/>\nb. Identify the outlier. How does the outlier affect the mean, median, and mode?<br \/>\nc. Make a box-and-whisker plot that represents the data. Find and interpret the interquartile range of the data. Identify the shape of the distribution.<br \/>\nd. Find the mean, median, mode, range, and standard deviation of the prices when the store offers a 5% discount on all mountain bikes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33700\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-8.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays q 8\" width=\"220\" height=\"171\" \/><br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nThe table shows the times of 20 presentations. (Section 11.3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33701\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-q-9.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays q 9\" width=\"160\" height=\"173\" \/><br \/>\na. Display the data in a histogram using five intervals beginning with 3\u20135.<br \/>\nb. Which measures of center and variation best represent the data? Explain.<br \/>\nc. The presentations are supposed to be 10 minutes long. How would you interpret these results?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_11.4_Two-Way_Tables\"><\/a>Lesson 11.4 Two-Way Tables<\/h3>\n<p><strong>Essential Question<\/strong> How can you read and make a two-way table?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Reading a Two-Way Table<br \/>\nWork with a partner. You are the manager of a sports shop. The two-way tables show the numbers of soccer T-shirts in stock at your shop at the beginning and end of the selling season. (a) Complete the totals for the rows and columns in each table. (b) How would you alter the number of T-shirts you order for next season? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33671\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 1\" width=\"505\" height=\"384\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-1.png 505w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-1-300x228.png 300w\" sizes=\"(max-width: 505px) 100vw, 505px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Making a Two-Way Table<br \/>\nWork with a partner. The three-dimensional bar graph shows the numbers of hours students work at part-time jobs.<br \/>\na. Make a two-way table showing the data. Use estimation to find the entries in your table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33672\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-2.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 2\" width=\"521\" height=\"245\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-2.png 521w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-2-300x141.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><br \/>\nb. Write two observations that summarize the data in your table.<br \/>\nAnswer:<\/p>\n<p><strong>Communicate Your Answer<\/strong><br \/>\nQuestion 3.<br \/>\nHow can you read and make a two-way table?<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Question 1.<br \/>\nYou conduct a technology survey to publish on your school\u2019s website. You survey students in the school cafeteria about the technological devices they own. The results are shown in the two-way table. Find and interpret the marginal frequencies.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33673\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-3.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 3\" width=\"235\" height=\"122\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nYou survey students about whether they are getting a summer job. Seventy-five males respond, with 18 of them responding \u201cno.\u201d Fifty-seven females respond, with 45 of them responding \u201cyes.\u201d Organize the results in a two-way table. Include the marginal frequencies.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nUse the survey results in Monitoring Progress Question 2 to make a two-way table that shows the joint and marginal relative frequencies. What percent of students are not getting a summer job?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nUse the survey results in Example 3 to make a two-way table that shows the conditional relative frequencies based on the row totals. Given that a student is a senior, what is the conditional relative frequency that he or she is planning to major in a medical field?<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nUsing the results of the survey in Monitoring Progress Question 1, is there an association between owning a tablet computer and owning a cell phone? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Two-Way_Tables_11.4_Exercises\"><\/a>Two-Way Tables 11.4 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nEach entry in a two-way table is called a(n) __________.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41214\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 1\" width=\"525\" height=\"32\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-1.png 525w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-1-300x18.png 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WRITING<\/strong><br \/>\nWhen is it appropriate to use a two-way table to organize data?<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nExplain the relationship between joint relative frequencies, marginal relative frequencies, and conditional relative frequencies.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41215\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-3.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 3\" width=\"559\" height=\"114\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-3.png 559w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-3-300x61.png 300w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe two ways you can find conditional relative frequencies.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p>You conduct a survey that asks 346 students whether they buy lunch at school. In Exercises 5\u20138, use the results of the survey shown in the two-way table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33674\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-4.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 3\" width=\"306\" height=\"115\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-4.png 306w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-4-300x113.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><br \/>\nQuestion 5.<br \/>\nHow many freshmen were surveyed?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41216\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-5.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 5\" width=\"523\" height=\"268\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-5.png 523w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-5-300x154.png 300w\" sizes=\"(max-width: 523px) 100vw, 523px\" \/><\/p>\n<p>Question 6.<br \/>\nHow many sophomores were surveyed?<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nHow many students buy lunch at school?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41217\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-7.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 7\" width=\"531\" height=\"277\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-7.png 531w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-7-300x156.png 300w\" sizes=\"(max-width: 531px) 100vw, 531px\" \/><\/p>\n<p>Question 8.<br \/>\nHow many students do not buy lunch at school?<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 9 and 10, find and interpret the marginal frequencies.<\/strong><br \/>\nQuestion 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33675\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-5.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 5\" width=\"269\" height=\"122\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41218\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-9.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 9\" width=\"573\" height=\"336\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-9.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-9-300x176.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33676\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-6.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 6\" width=\"188\" height=\"127\" \/><br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n<strong>USING TWO-WAY TABLES<\/strong><br \/>\nYou conduct a survey that asks students whether they plan to participate in school spirit week. The results are shown in the two-way table. Find and interpret the marginal frequencies.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33677\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-7.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 7\" width=\"319\" height=\"129\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-7.png 319w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-7-300x121.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41219\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-11.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 11\" width=\"612\" height=\"340\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-11.png 612w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-11-300x167.png 300w\" sizes=\"(max-width: 612px) 100vw, 612px\" \/><\/p>\n<p>Question 12.<br \/>\n<strong>USING TWO-WAY TABLES<\/strong><br \/>\nYou conduct a survey that asks college-bound high school seniors about the type of degree they plan to receive. The results are shown in the two-way table. Find and interpret the marginal frequencies.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33678\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-8.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 8\" width=\"362\" height=\"122\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-8.png 362w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-8-300x101.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>USING STRUCTURE<\/strong> In Exercises 13 and 14, complete the two-way table..<br \/>\nQuestion 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33679\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-9.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 9\" width=\"322\" height=\"157\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-9.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-9-300x146.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41220\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-13.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 13\" width=\"561\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-13.png 561w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-13-300x120.png 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33680\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-10.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 10\" width=\"299\" height=\"159\" \/><br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<strong>MAKING TWO-WAY TABLES<\/strong><br \/>\nYou conduct a survey that asks 245 students in your school whether they have taken a Spanish or a French class. One hundred nine of the students have taken a Spanish class, and 45 of those students have taken a French class. Eighty-two of the students have not taken a Spanish or a French class. Organize the results in a two-way table. Include the marginal frequencies.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41221\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-15.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 15\" width=\"532\" height=\"223\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-15.png 532w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-15-300x126.png 300w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><\/p>\n<p>Question 16.<br \/>\n<strong>MAKING TWO-WAY TABLES<\/strong><br \/>\nA car dealership has 98 cars on its lot. Fifty-five of the cars are new. Of the new cars, 36 are domestic cars. There are 15 used foreign cars on the lot. Organize this information in a two-way table. Include the marginal frequencies. In Exercises 17 and 18, make a two-way table that shows the joint and marginal relative frequencies.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33681\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-11.1.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 11.1\" width=\"233\" height=\"156\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 17 and 18, make a two-way table that shows the joint and marginal relative frequencies.<\/strong><br \/>\nQuestion 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33682\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-11.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 11\" width=\"274\" height=\"125\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41222\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-17.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 17\" width=\"532\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-17.png 532w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-17-300x124.png 300w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33683\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-12.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 12\" width=\"246\" height=\"122\" \/><br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>USING TWO-WAY TABLES<\/strong><br \/>\nRefer to Exercise 17. What percent of students prefer aerobic exercise? What percent of students are males who prefer anaerobic exercise?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41223\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-19.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 19\" width=\"556\" height=\"65\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-19.png 556w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-19-300x35.png 300w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>USING TWO-WAY TABLES<\/strong><br \/>\nRefer to Exercise 18. What percent of the sandwiches are on wheat bread? What percent of the sandwiches are turkey on white bread?<br \/>\nAnswer:<\/p>\n<p><strong>ERROR ANALYSIS<\/strong> In Exercises 21 and 22, describe and correct the error in using the two-way table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33684\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-13.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 13\" width=\"327\" height=\"124\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-13.png 327w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-13-300x114.png 300w\" sizes=\"(max-width: 327px) 100vw, 327px\" \/><br \/>\nQuestion 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33685\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-14.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 14\" width=\"316\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-14.png 316w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-14-300x64.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41224\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-21.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 21\" width=\"536\" height=\"123\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-21.png 536w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-21-300x69.png 300w\" sizes=\"(max-width: 536px) 100vw, 536px\" \/><\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33686\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-15.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 15\" width=\"326\" height=\"181\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-15.png 326w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-15-300x167.png 300w\" sizes=\"(max-width: 326px) 100vw, 326px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<strong>USING TWO-WAY TABLES<\/strong><br \/>\nA company is hosting an event for its employees to celebrate the end of the year. It asks the employees whether they prefer a lunch event or a dinner event. It also asks whether they prefer a catered event or a potluck. The results are shown in the two-way table. Make a two-way table that shows the conditional relative frequencies based on the row totals. Given that an employee prefers a lunch event, what is the conditional relative frequency that he or she prefers a catered event?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33687\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-16.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 16\" width=\"273\" height=\"127\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41225\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-23.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 23\" width=\"562\" height=\"511\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-23.png 562w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-23-300x273.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 24.<br \/>\n<strong>USING TWO-WAY TABLES<\/strong><br \/>\nThe two-way table shows the results of a survey that asked students about their preference for a new school mascot. Make a two-way table that shows the conditional relative frequencies based on the column totals. Given that a student prefers a hawk as a mascot, what is the conditional relative frequency that he or she prefers a cartoon mascot?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33688\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-17.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 17\" width=\"282\" height=\"116\" \/><br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<strong>ANALYZING TWO-WAYTABLES<\/strong><br \/>\nYou survey college-bound seniors and find that 85% plan to live on campus, 35% plan to have a car while at college, and 5% plan to live off campus and not have a car. Is there an association between living on campus and having a car at college? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41226\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-25.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 25.1\" width=\"510\" height=\"488\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-25.1.png 510w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-25.1-300x287.png 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41227\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-25.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 25.2\" width=\"580\" height=\"173\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-25.2.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-25.2-300x89.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 26.<br \/>\n<strong>ANALYZING TWO-WAYTABLES<\/strong><br \/>\nYou survey students and find that 70% watch sports on TV, 48% participate in a sport, and 16% do not watch sports on TV or participate in a sport. Is there an association between participating in a sport and watching sports on TV? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33689\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-18.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 18\" width=\"176\" height=\"121\" \/><br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<strong>ANALYZING TWO-WAY TABLES<\/strong><br \/>\nThe two-way table shows the results of a survey that asked adults whether they participate in recreational skiing. Is there an association between age and recreational skiing?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33690\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-19.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 19\" width=\"316\" height=\"110\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-19.png 316w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-19-300x104.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41228\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-27.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 27\" width=\"630\" height=\"574\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-27.png 630w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-27-300x273.png 300w\" sizes=\"(max-width: 630px) 100vw, 630px\" \/><\/p>\n<p>Question 28.<br \/>\n<strong>ANALYZING TWO-WAY TABLES<\/strong><br \/>\nRefer to Exercise 12. Is there an association between gender and type of degree? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<strong>WRITING<\/strong><br \/>\nCompare Venn diagrams and two-way tables.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41229\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-29.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 29\" width=\"538\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-29.png 538w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-29-300x33.png 300w\" sizes=\"(max-width: 538px) 100vw, 538px\" \/><\/p>\n<p>Question 30.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nThe graph shows the results of a survey that asked students about their favorite movie genre.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33691\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-20.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 20\" width=\"276\" height=\"210\" \/><br \/>\na. Display the given information in a two-way table.<br \/>\nb. Which of the data displays do you prefer? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nA box office sells 1809 tickets to a play, 800 of which are for the main floor. The tickets consist of 2x + y adult tickets on the main floor, x &#8211; 40 child tickets on the main floor, x + 2y adult tickets in the balcony, and 3x &#8211; y &#8211; 80 child tickets in the balcony.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33692\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-21.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 21\" width=\"175\" height=\"135\" \/><br \/>\na. Organize this information in a two-way table.<br \/>\nb. Find the values of x and y.<br \/>\nc. What percent of tickets are adult tickets?<br \/>\nd. What percent of child tickets are balcony tickets?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41230\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-31.1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 31.1\" width=\"485\" height=\"638\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-31.1.png 485w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-31.1-228x300.png 228w\" sizes=\"(max-width: 485px) 100vw, 485px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41231\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-31.2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 31.2\" width=\"623\" height=\"593\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-31.2.png 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-31.2-300x286.png 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><\/p>\n<p>Question 32.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nCompare \u201cone-way tables\u201d and \u201ctwo-way tables.\u201d Is it possible to have a \u201cthree-way table?\u201d If so, give an example of a three-way table.<br \/>\nAnswer:<\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Tell whether the table of values represents a linear, an exponential, or a quadratic function. (Section 8.6)<br \/>\nQuestion 33.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33693\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-22.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 22\" width=\"236\" height=\"69\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41232\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-33.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.4 a 33\" width=\"564\" height=\"282\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-33.png 564w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.4-a-33-300x150.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><\/p>\n<p>Question 34.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33694\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Solutions-Chapter-11-Data-Analysis-and-Displays-11.4-23.png\" alt=\"Big Ideas Math Algebra 1 Solutions Chapter 11 Data Analysis and Displays 11.4 23\" width=\"238\" height=\"70\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_11.5_Choosing_a_Data_Display\"><\/a>Lesson 11.5 Choosing a Data Display<\/h3>\n<p><strong>Essential Question<\/strong> How can you display data in a way that helps you make decisions?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Displaying Data<br \/>\nWork with a partner. Analyze the data and then create a display that best represents the data. Explain your choice of data display.<br \/>\na. A group of schools in New England participated in a 2-month study and reported 3962 animals found dead along roads.<br \/>\nbirds: 307<br \/>\nmammals: 2746<br \/>\namphibiAnswer: 145<br \/>\nreptiles: 75<br \/>\nunknown: 689<br \/>\nb. The data below show the numbers of black bears killed on a state\u2019s roads from 1993 to 2012.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33702\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-1.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 1\" width=\"320\" height=\"151\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-1.png 320w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-1-300x142.png 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><br \/>\nc. A 1-week study along a 4-mile section of road found the following weights (in pounds) of raccoons that had been killed by vehicles.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33703\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-2.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 2\" width=\"423\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-2.png 423w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-2-300x68.png 300w\" sizes=\"(max-width: 423px) 100vw, 423px\" \/><br \/>\nd. A yearlong study by volunteers in California reported the following numbers of animals killed by motor vehicles.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33704\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-3.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 3\" width=\"343\" height=\"122\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-3.png 343w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-3-300x107.png 300w\" sizes=\"(max-width: 343px) 100vw, 343px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Communicate Your Answer<\/strong><br \/>\nQuestion 2.<br \/>\nHow can you display data in a way that helps you make decisions?<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nUse the Internet or some other reference to find examples of the following types of data displays.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33705\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-4.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 4\" width=\"219\" height=\"151\" \/><br \/>\nbar graph<br \/>\ncircle graph<br \/>\nscatter plot<br \/>\nstem-and-leaf plot<br \/>\npictograph<br \/>\nline graph<br \/>\nbox-and-whisker plot<br \/>\nhistogram<br \/>\ndot plot<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p><strong>Tell whether the data are qualitative or quantitative. Explain your reasoning.<\/strong><br \/>\nQuestion 1.<br \/>\ntelephone numbers in a directory<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nages of patients at a hospital<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nlengths of videos on a website<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\ntypes of flowers at a florist<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nDisplay the data in Example 2(a) in another way.<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nDisplay the data in Example 2(b) in another way.<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nRedraw the graphs in Example 3 so they are not misleading.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Choosing_a_Data_Display_11.5_Exercises\"><\/a>Choosing a Data Display 11.5 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nDescribe two ways that a line graph can be misleading.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41233\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-1.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 1\" width=\"565\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-1.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-1-300x44.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WHICH ONE DOESN\u2019T BELONG?<\/strong><br \/>\nWhich data set does not belong with the other three? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33706\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-5.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 5\" width=\"593\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-5.png 593w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-5-300x45.png 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p><strong>In Exercises 3\u20138, tell whether the data are qualitative or quantitative. Explain your reasoning.<\/strong><br \/>\nQuestion 3.<br \/>\nbrands of cars in a parking lot<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-41234\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-3.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 3\" width=\"560\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-3.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-3-300x32.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/p>\n<p>Question 4.<br \/>\nweights of bears at a zoo<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nbudgets of feature films<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41235\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-5.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 5\" width=\"510\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-5.png 510w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-5-300x36.png 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><\/p>\n<p>Question 6.<br \/>\nfile formats of documents on a computer<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nshoe sizes of students in your class<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41236\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-7.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 7\" width=\"529\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-7.png 529w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-7-300x33.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/p>\n<p>Question 8.<br \/>\nstreet addresses in a phone book<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 9\u201312, choose an appropriate data display for the situation. Explain your reasoning.<\/strong><br \/>\nQuestion 9.<br \/>\nthe number of students in a marching band each year<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41237\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-9.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 9\" width=\"580\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-9.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-9-300x45.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 10.<br \/>\na comparison of students\u2019 grades (out of 100) in two different classes<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nthe favorite sports of students in your class<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41238\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-11.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 11\" width=\"550\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-11.png 550w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-11-300x52.png 300w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/p>\n<p>Question 12.<br \/>\nthe distribution of teachers by age<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 13\u201316, analyze the data and then create a display that best represents the data. Explain your reasoning.<\/strong><br \/>\nQuestion 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33707\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-6.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 6\" width=\"319\" height=\"171\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-6.png 319w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-6-300x161.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41239\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.1.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 13.1\" width=\"648\" height=\"502\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.1.png 648w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.1-300x232.png 300w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41240\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.2.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 13.2\" width=\"645\" height=\"577\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.2.png 645w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.2-300x268.png 300w\" sizes=\"(max-width: 645px) 100vw, 645px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41241\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.3.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 13.3\" width=\"608\" height=\"208\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.3.png 608w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-13.3-300x103.png 300w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33708\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-7.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 7\" width=\"271\" height=\"183\" \/><br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33709\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-8.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 8\" width=\"207\" height=\"128\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41242\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-15.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 15\" width=\"547\" height=\"418\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-15.png 547w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-15-300x229.png 300w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33710\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-9.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 9\" width=\"298\" height=\"147\" \/><br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>DISPLAYING DATA<\/strong><br \/>\nDisplay the data in Exercise 13 in another way.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41243\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-17.1.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 17.1\" width=\"581\" height=\"316\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-17.1.png 581w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-17.1-300x163.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41244\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-17.2.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 17.2\" width=\"392\" height=\"453\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-17.2.png 392w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-17.2-260x300.png 260w\" sizes=\"(max-width: 392px) 100vw, 392px\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>DISPLAYING DATA<\/strong><br \/>\nDisplay the data in Exercise 14 in another way.<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>DISPLAYING DATA<\/strong><br \/>\nDisplay the data in Exercise 15 in another way.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41245\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-19.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 19\" width=\"371\" height=\"497\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-19.png 371w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-19-224x300.png 224w\" sizes=\"(max-width: 371px) 100vw, 371px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>DISPLAYING DATA<\/strong><br \/>\nDisplay the data in Exercise 16 in another way.<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 21\u201324, describe how the graph is misleading. Then explain how someone might misinterpret the graph.<\/strong><br \/>\nQuestion 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33711\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-10.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 10\" width=\"280\" height=\"182\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41246\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-21.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 21\" width=\"580\" height=\"77\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-21.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-21-300x40.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33712\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-11.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 11\" width=\"242\" height=\"166\" \/><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33713\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-12.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 12\" width=\"296\" height=\"84\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41247\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-23.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 23\" width=\"575\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-23.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-23-300x32.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33714\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-13.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 13\" width=\"253\" height=\"150\" \/><br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<strong>DISPLAYING DATA<\/strong><br \/>\nRedraw the graph in Exercise 21 so it is not misleading.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41248\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-25.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 25\" width=\"343\" height=\"400\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-25.png 343w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-25-257x300.png 257w\" sizes=\"(max-width: 343px) 100vw, 343px\" \/><\/p>\n<p>Question 26.<br \/>\n<strong>DISPLAYING DATA<\/strong><br \/>\nRedraw the graph in Exercise 22 so it is not misleading.<br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nA data set gives the ages of voters for a city election. Classmate A says the data should be displayed in a bar graph, while Classmate B says the data would be better displayed in a histogram. Who is correct? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41249\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-27.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 27\" width=\"581\" height=\"91\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-27.png 581w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-27-300x47.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p>Question 28.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nThe manager of a company sees the graph shown and concludes that the company is experiencing a decline. What is missing from the graph? Explain why the manager may be mistaken.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33715\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-14.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 14\" width=\"275\" height=\"156\" \/><br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<strong>REASONING<\/strong><br \/>\nA survey asked 100 students about the sports they play. The results are shown in the circle graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33716\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-15.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 15\" width=\"204\" height=\"213\" \/><br \/>\na. Explain why the graph is misleading.<br \/>\nb. What type of data display would be more appropriate for the data? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41250\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-29.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 29\" width=\"563\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-29.png 563w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-29-300x96.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/p>\n<p>Question 30.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nUse a spreadsheet program to create a type of data display that is not used in this section.<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<strong>REASONING<\/strong><br \/>\nWhat type of data display shows the mode of a data set?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41251\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-31.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 31\" width=\"558\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-31.png 558w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-31-300x29.png 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Determine whether the relation is a function. Explain.(Section 3.1)<br \/>\nQuestion 32.<br \/>\n(-5, -1), (-6, 0), (-5, 1), (-2, 2), (3 , 3)<br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n(0, 1), (4, 0), (8, 1), (12, 2), (16, 3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-41252\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-33.png\" alt=\"Big Ideas Math Answers Algebra 1 Chapter 11 Data Analysis and Displays 11.5 a 33\" width=\"510\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-33.png 510w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-a-33-300x32.png 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><\/p>\n<h3><a id=\"Data_Analysis_and_Displays_Performance_Task:_College_Students_Study_Time\"><\/a>Data Analysis and Displays Performance Task: College Students Study Time<\/h3>\n<p><strong>11.4\u201311.5 What Did You Learn?<\/strong><\/p>\n<p>Core Vocabulary<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33717\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-16.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 16\" width=\"575\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-16.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-16-300x51.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Core Concepts<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33718\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-17.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 17\" width=\"602\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-17.png 602w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-17-300x89.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p><strong>Mathematical Practices<\/strong><br \/>\nQuestion 1.<br \/>\nConsider the data given in the two-way table for Exercises 5\u20138 on page 614. Your sophomore friend responded to the survey. Is your friend more likely to have responded \u201cyes\u201d or \u201cno\u201d to buying a lunch? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nUse your answer to Exercise 28 on page 622 to explain why it is important for a company manager to see accurate graphs.<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-33719\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-18.png\" alt=\"Big Ideas Math Answer Key Algebra 1 Chapter 11 Data Analysis and Displays 11.5 18\" width=\"776\" height=\"366\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-18.png 776w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-18-300x141.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-1-Chapter-11-Data-Analysis-and-Displays-11.5-18-768x362.png 768w\" sizes=\"(max-width: 776px) 100vw, 776px\" \/><\/p>\n<h3><a id=\"Data_Analysis_and_Displays_Chapter_Review\"><\/a>Data Analysis and Displays Chapter Review<\/h3>\n<p><strong>11.1 Measures of Center and Variation (pp. 585\u2013592)<\/strong><\/p>\n<p>Question 1.<br \/>\nUse the data in the example above. You run 4.0 miles on Day 11. How does this additional value affect the mean, median, and mode? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nUse the data in the example above. You run 10.0 miles on Day 11. How does this additional value affect the mean, median, and mode? Explain.<br \/>\nAnswer:<\/p>\n<p><strong>Find the mean, median, and mode of the data.<\/strong><br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33738\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-cr-1.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays cr 1\" width=\"226\" height=\"114\" \/><br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33739\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-cr-2.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays cr 2\" width=\"252\" height=\"90\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Find the range and standard deviation of each data set. Then compare your results.<\/strong><br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33740\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-cr-5.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays cr 5\" width=\"260\" height=\"177\" \/><br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33741\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-cr-6.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays cr 6\" width=\"251\" height=\"152\" \/><br \/>\nAnswer:<\/p>\n<p>Find the values of the measures shown after the given transformation.<br \/>\nMean: 109 Median: 104 Mode: 96 Range: 45 Standard deviation: 3.6<br \/>\nQuestion 7.<br \/>\nEach value in the data set increases by 25.<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nEach value in the data set is multiplied by 0.6<br \/>\nAnswer:<\/p>\n<p><strong>11.2 Box-and-Whisker Plots (pp. 593\u2013598)<\/strong><\/p>\n<p>Make a box-and-whisker plot that represents the data. Identify the shape of the distribution.<br \/>\nQuestion 9.<br \/>\nAges of volunteers at a hospital:<br \/>\n14, 17, 20, 16, 17, 14, 21, 18, 22<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\nMasses (in kilograms) of lions:<br \/>\n120, 230, 180, 210, 200, 200, 230, 160<br \/>\nAnswer:<\/p>\n<p><strong>11.3 Shapes of Distributions (pp. 599\u2013606)<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-33742\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-cr-7.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays cr 7\" width=\"168\" height=\"205\" \/><br \/>\nQuestion 11.<br \/>\nThe frequency table shows the amounts (in dollars) of money the students in a class have in their pockets.<br \/>\na. Display the data in a histogram. Describe the shape of the distribution.<br \/>\nb. Which measures of center and variation best represent the data?<br \/>\nc. Compare this distribution with the distribution shown above using their shapes and appropriate measures of center and variation.<br \/>\nAnswer:<\/p>\n<p><strong>11.4 Two-Way Tables (pp. 609\u2013616)<\/strong><\/p>\n<p>Question 12.<br \/>\nThe two-way table shows the results of a survey that asked shoppers at a mall about whether they like the new food court.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33743\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-cr-12.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays cr 12\" width=\"254\" height=\"129\" \/><br \/>\na. Make a two-way table that shows the joint and marginal relative frequencies.<br \/>\nb. Make a two-way table that shows the conditional relative frequencies based on the column totals.<br \/>\nAnswer:<\/p>\n<p><strong>11.5 Choosing a Data Display (pp. 617\u2013622)<\/strong><\/p>\n<p>Question 13.<br \/>\nAnalyze the data in the table at the right and then create a display that best represents the data. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33744\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answer-Key-Chapter-11-Data-Analysis-and-Displays-cr-13.png\" alt=\"Big Ideas Math Algebra 1 Answer Key Chapter 11 Data Analysis and Displays cr 13\" width=\"189\" height=\"162\" \/><br \/>\nAnswer:<\/p>\n<p>Tell whether the data are qualitative or quantitative. Explain.<br \/>\nQuestion 14.<br \/>\nheights of the members of a basketball team<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\ngrade level of students in an elementary school<br \/>\nAnswer:<\/p>\n<h3><a id=\"Data_Analysis_and_Displays_Chapter_Test\"><\/a>Data Analysis and Displays Chapter Test<\/h3>\n<p>Describe the shape of the data distribution. Then determine which measures of center and variation best represent the data.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33745\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-c-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays c 1\" width=\"131\" height=\"102\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33746\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-c-2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays c 2\" width=\"145\" height=\"97\" \/><br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33747\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-c-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays c 3\" width=\"134\" height=\"105\" \/><br \/>\nAnswer:<\/p>\n<p>Determine whether each statement is always, sometimes, or never true. Explain your reasoning.<br \/>\na. The sum of the marginal relative frequencies in the \u201ctotal\u201d row and the \u201ctotal\u201d column of a two-way table should each be equal to 1.<br \/>\nb. In a box-and-whisker plot, the length of the box to the left of the median and the length of the box to the right of the median are equal.<br \/>\nc. Qualitative data are numerical.<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nFind the mean, median, mode, range, and standard deviation of the prices.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33748\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-c-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays c 5\" width=\"303\" height=\"93\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-c-5.png 303w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-c-5-300x92.png 300w\" sizes=\"(max-width: 303px) 100vw, 303px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nRepeat Exercise 5 when all the shirts in the clothing store are 20% off.<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nWhich data display best represents the data, a histogram or a stem-and-leaf plot? Explain.<br \/>\n15, 21, 18, 10, 12, 11, 17, 18, 16, 12, 20, 12, 17, 16<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nThe tables show the battery lives (in hours) of two brands of laptops.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33749\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-c-8.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays c 8\" width=\"278\" height=\"161\" \/><br \/>\na. Make a double box-and-whisker plot that represents the data.<br \/>\nb. Identify the shape of each distribution.<br \/>\nc. Which brand\u2019s battery lives are more spread out? Explain.<br \/>\nd. Compare the distributions using their shapes and appropriate measures of center and variation.<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nThe table shows the results of a survey that asked students their preferred method of exercise. Analyze the data and then create a display that best represents the data. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33750\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-c-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays c 9\" width=\"260\" height=\"193\" \/><br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\nYou conduct a survey that asks 271 students in your class whether they are attending the class field trip. One hundred twenty-one males respond 92 of which are attending the field trip. Thirty-one females are not attending the field trip.<br \/>\na. Organize the results in a two-way table. Find and interpret the marginal frequencies.<br \/>\nb. What percent of females are attending the class field trip?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Data_Analysis_and_Displays_Cumulative_Assessment\"><\/a>Data Analysis and Displays Cumulative Assessment<\/h3>\n<p>Question 1.<br \/>\nYou ask all the students in your grade whether they have a cell phone. The results are shown in the two-way table. Your friend claims that a greater percent of males in your grade have cell phones than females. Do you support your friend\u2019s claim? Justify your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33751\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-1.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 1\" width=\"218\" height=\"133\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nUse the graphs of the functions to answer each question.<br \/>\na. Are there any values of x greater than 0 where f (x) &gt; h(x)? Explain.<br \/>\nb. Are there any values of x greater than 1 where g(x) &gt; f(x)? Explain.<br \/>\nc. Are there any values of x greater than 0 where g(x) &gt; h(x)? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33752\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-2.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 2\" width=\"130\" height=\"134\" \/><br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nClassify the shape of each distribution as symmetric, skewed left, or skewed right.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33753\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-3.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 3\" width=\"563\" height=\"199\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-3.png 563w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-3-300x106.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nComplete the equation so that the solutions of the system of equations are (-2, 4) and (1, -5).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33754\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-4.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 4\" width=\"149\" height=\"73\" \/><br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nPair each function with its inverse.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33755\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-5.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 5\" width=\"540\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-5.png 540w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-5-300x64.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nThe box-and-whisker plot represents the lengths (in minutes) of project presentations at a science fair. Find the interquartile range of the data. What does this represent in the context of the situation?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33756\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-6.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 6\" width=\"483\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-6.png 483w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-6-300x48.png 300w\" sizes=\"(max-width: 483px) 100vw, 483px\" \/><br \/>\nA. 7; The middle half of the presentation lengths vary by no more than 7 minutes.<br \/>\nB. 3; The presentation lengths vary by no more than 3 minutes.<br \/>\nC. 3; The middle half of the presentation lengths vary by no more than 3 minutes.<br \/>\nD. 7; The presentation lengths vary by no more than 7 minutes.<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nScores in a video game can be between 0 and 100. Use the data set shown to fill in a value for x so that each statement is true.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33757\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-7.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 7\" width=\"166\" height=\"133\" \/><br \/>\na. When x = ____, the mean of the scores is 45.5.<br \/>\nb. When x = ____, the median of the scores is 47.<br \/>\nc. When x = ____, the mode of the scores is 63.<br \/>\nd. When x = ____, the range of the scores is 71.<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nSelect all the numbers that are in the range of the function shown.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33758\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-8.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 8\" width=\"496\" height=\"127\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-8.png 496w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-8-300x77.png 300w\" sizes=\"(max-width: 496px) 100vw, 496px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nA traveler walks and takes a shuttle bus to get to a terminal of an airport. The function y = D(x) represents the traveler\u2019s distance (in feet) after x minutes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33759\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-and-Displays-ca-9.png\" alt=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays ca 9\" width=\"210\" height=\"177\" \/><br \/>\na. Estimate and interpret D(2).<br \/>\nb. Use the graph to find the solution of the equation D(x) = 3500. Explain the meaning of the solution.<br \/>\nc. How long does the traveler wait for the shuttle bus?<br \/>\nd. How far does the traveler ride on the shuttle bus?<br \/>\ne. What is the total distance that the traveler walks before and after riding the shuttle bus?<br \/>\nAnswer:<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Need an opportunity to become math proficient? Then, this article will help you to turn like that. As this page holds benefitted Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays Questions to solve and improve subject knowledge. Students who want to practice all topics from ch 11 Data Analysis and Displays &#8230; <a title=\"Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-1-answers-chapter-11\/\" aria-label=\"More on Big Ideas Math Algebra 1 Answers Chapter 11 Data Analysis and Displays\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":89129,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Algebra-1-Answers-Chapter-11-Data-Analysis-Displays.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/33625"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=33625"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/33625\/revisions"}],"predecessor-version":[{"id":90375,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/33625\/revisions\/90375"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89129"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=33625"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=33625"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=33625"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}