{"id":6858,"date":"2022-03-26T13:49:27","date_gmt":"2022-03-26T08:19:27","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=6858"},"modified":"2022-04-07T12:41:18","modified_gmt":"2022-04-07T07:11:18","slug":"go-math-grade-8-answer-key-chapter-15-two-way-tables","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-8-answer-key-chapter-15-two-way-tables\/","title":{"rendered":"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables"},"content":{"rendered":"<p>Hey guys! Are you searching for the Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables on various sites? If your answer is yes, then don&#8217;t worry you are on the right page. Here you can get the best answers for Go Math Grade 8 Chapter 15 Two-Way Tables. Students who are lagging in two-way tables can get them in this article. Make use of <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-8-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 8 Answer Key<\/a> Chapter 15 Two-way Tables and Download them for free.<\/p>\n<h2>Go Math Grade 8 Chapter 15 Two-Way Tables Answer Key<\/h2>\n<p>You can learn the concepts of frequency tables in Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables. It is the second essential teaching practice for the students of 8th standard. So, every student who love to learn math must go through the HMH Go Math Grade 8 Chapter 15 in an easy way. You can download and practice Go Math Grade 8 Solution Key Chapter 15 Two-Way Tables for free of cost. Click on the HMH Go Math Grade 8 Answer Key links and kickstart your preparation.<\/p>\n<p><strong>Lesson 1: Two-Way Frequency Tables<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Two-Way_Frequency_Tables_-_Page_No._454\">Two-Way Frequency Tables &#8211; Page No. 454<\/a><\/li>\n<li><a href=\"#Two-Way_Frequency_Tables_-_Page_No._455\">Two-Way Frequency Tables &#8211; Page No. 455<\/a><\/li>\n<li><a href=\"#Two-Way_Frequency_Tables_-_Page_No._456\">Two-Way Frequency Tables &#8211; Page No. 456<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>\u00a0Lesson 2: Two-Way Relative Frequency Tables<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Two-Way_Relative_Frequency_Tables_-_Page_No._462\">Two-Way Relative Frequency Tables &#8211; Page No. 462<\/a><\/li>\n<li><a href=\"#Two-Way_Relative_Frequency_Tables_-_Page_No._463\">Two-Way Relative Frequency Tables &#8211; Page No. 463<\/a><\/li>\n<li><a href=\"#Two-Way_Relative_Frequency_Tables_-_Page_No._464\">Two-Way Relative Frequency Tables &#8211; Page No. 464<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Model Quiz<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Model_Quiz_-_Page_No._465\">Model Quiz &#8211; Page No. 465<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Mixed Review<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Mixed_Review_-_Page_No._466\">Mixed Review &#8211; Page No. 466<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><a id=\"Two-Way_Frequency_Tables_-_Page_No._454\"><\/a>Guided Practice &#8211; Two-Way Frequency Tables &#8211; Page No. 454<\/h3>\n<p>Question 1.<br \/>\nIn a survey of 50 students, 60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog. Complete the two-way table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-1.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 1: Two-Way Frequency Tables img 1\" width=\"288\" height=\"163\" \/><br \/>\na. Enter the total number of students surveyed in the bottom right cell of the table.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8200\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-1-300x81.jpg\" alt=\"grade 8 chapter 15 image 1\" width=\"300\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-1-300x81.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-1-768x207.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-1.jpg 1000w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nIn a survey of 50 students, 60% said that they have a cat.<br \/>\nIn mathematical terms:<br \/>\nCat = 0.6\u00d750 = 30<br \/>\nIf 60% have a cat, then 40% don&#8217;t have a cat<br \/>\nNo Cat = (1 &#8211; 0.6) \u00d7 50 = 20<br \/>\nBecause there are 2 options, Adding them will give the total amount of students<br \/>\nTotal = Cat + No Cat = 50<br \/>\nOf the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog. So, in mathematical terms:<br \/>\nDog = Cat \u00d7 0.7 + No Cat \u00d70.75 = 30 \u00d7 0.7 + 20 \u00d7 0.75 = 36<br \/>\nFollowing the same logic as before, if 70% of students who have a cat also have a dog, then 30% of them don&#8217;t have a dog. The same analysis for the students who do not have a cat.<br \/>\nNo Dog = Cat \u00d7 (1-0.7) + No Cat \u00d7 (1-0.75) = 30 \u00d7 (1-0.7) + 20 \u00d7 (1-0.75) = 14<br \/>\nAgain, the addition of the 2 options has to give the total amount of students<br \/>\nTotal = 50<\/p>\n<p>Question 1.<br \/>\nb. Fill in right column.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nOf the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog. In mathematical terms:<br \/>\nDog = Cat \u00d7 0.7 + No Cat \u00d70.75 = 30 \u00d7 0.7 + 20 \u00d7 0.75 = 36<\/p>\n<p>Question 1.<br \/>\nc. Fill in top row.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nIn a survey of 50 students, 60% said that they have a cat. In mathematical terms:<br \/>\nCat = 0.6\u00d750 = 30<\/p>\n<p>Question 1.<br \/>\nd. Fill in second row.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nIf 60% have a cat, then 40% don&#8217;t have a cat<br \/>\nNo Cat = (1 &#8211; 0.6) \u00d7 50 = 20<\/p>\n<p>Question 1.<br \/>\ne. Fill in last row.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nBecause there are 2 options, the addition of them has to give the total amount of students<br \/>\nTotal = Cat + No Cat = 50<\/p>\n<p>Question 2.<br \/>\nThe results of a survey at a school are shown. Is there an association between being a boy and being left-handed? Explain.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-2.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 1: Two-Way Frequency Tables img 2\" width=\"451\" height=\"148\" \/><br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nNo, there isn&#8217;t any association between being a boy and being left-handed.<br \/>\nBoys are no more likely to be left-handed than right-handed.<\/p>\n<p><strong>ESSENTIAL QUESTION CHECK-IN<\/strong><\/p>\n<p>Question 3.<br \/>\nVoters were polled to see whether they supported Smith or Jones. Can you construct a two-way table of the results? Why or why not?<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nYou cannot construct a two-way table of the results. Because there is only one variable; voters. If there were two variables, such as men and women, a two-way table could be constructed.<\/p>\n<h3><a id=\"Two-Way_Frequency_Tables_-_Page_No._455\"><\/a>15.1 Independent Practice &#8211; Two-Way Frequency Tables &#8211; Page No. 455<\/h3>\n<p>Question 4.<br \/>\nRepresent Real-World Problems One hundred forty students were asked about their language classes. Out of 111 who take French, only 31 do not take Spanish. Twelve take neither French nor Spanish. Use this information to make a two-way table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-3.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 1: Two-Way Frequency Tables img 3\" width=\"519\" height=\"154\" \/><br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-8222\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-2-300x83.jpg\" alt=\"grade 8 chapter 15 image 2\" width=\"380\" height=\"105\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-2-300x83.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-2.jpg 590w\" sizes=\"(max-width: 380px) 100vw, 380px\" \/><\/p>\n<p>Question 5.<br \/>\nRepresent Real-World Problems Seventh- and eighth-grade students were asked whether they preferred science or math.<br \/>\na. Complete the two-way table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-4.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 1: Two-Way Frequency Tables img 4\" width=\"437\" height=\"152\" \/><br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-8223\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-3-300x98.jpg\" alt=\"grade 8 chapter 15 image 3\" width=\"380\" height=\"124\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-3-300x98.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-3.jpg 584w\" sizes=\"(max-width: 380px) 100vw, 380px\" \/><\/p>\n<p>Question 5.<br \/>\nb. Is there an association between being in eighth grade and preferring math? Explain.<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nThere is no association as such between being in eighth grade and preferring maths. But due to the total no. of eighth-grade students choosing maths is greater than the total no. of students in seventh grade preferring science. So, the eighth-grade students preferred.<\/p>\n<p>Question 6.<br \/>\nPersevere in Problem Solving The table gives partial information on the number of men and women who play in the four sections of the Metro Orchestra.<br \/>\na. Complete the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-5.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 1: Two-Way Frequency Tables img 5\" width=\"545\" height=\"154\" \/><br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8226\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-4-300x82.jpg\" alt=\"grade 8 chapter 15 image 4\" width=\"300\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-4-300x82.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-4.jpg 568w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\nb. Is there an association between being a woman and playing strings? Explain.<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nThere is no association between being a woman and playing strings since the number of men playing string is less than women.<\/p>\n<h3><a id=\"Two-Way_Frequency_Tables_-_Page_No._456\"><\/a>Two-Way Frequency Tables &#8211; Page No. 456<\/h3>\n<p><strong>FOCUS ON HIGHER ORDER THINKING<\/strong><\/p>\n<p>Question 7.<br \/>\nMulti-Step The two-way table below shows the results of a survey of Florida teenagers who were asked whether they preferred surfing or snorkeling.<br \/>\na. To the right of the number in each cell, write the relative frequency of the number compared to the total for the row the number is in. Round to the nearest percent.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-6.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 1: Two-Way Frequency Tables img 6\" width=\"557\" height=\"366\" \/><br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8238\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-9-300x78.jpg\" alt=\"grade 8 chapter 15 image 9\" width=\"300\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-9-300x78.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-9.jpg 583w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 7.<br \/>\nb. Explain the meaning of the relative frequency you wrote beside 28.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nThe relative frequency shows the percentage of people aged 16-18 that prefer snorkeling.<\/p>\n<p>Question 7.<br \/>\nc. To the right of each number you wrote in part a, write the relative frequency of each number compared to the total for the column the number is in. Are the relative frequencies the same? Why or why not?<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8239\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-10-300x78.jpg\" alt=\"grade 8 chapter 15 image 10\" width=\"300\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-10-300x78.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-10.jpg 583w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 7.<br \/>\nd. Explain the meaning of the relative frequency you wrote beside 28.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nThe relative frequency represents the percentage of people that prefer snorkeling that is aged 16-18.<\/p>\n<h3><a id=\"Two-Way_Relative_Frequency_Tables_-_Page_No._462\"><\/a>Guided Practice &#8211; Two-Way Relative Frequency Tables &#8211; Page No. 462<\/h3>\n<p>Question 1.<br \/>\nIn a class survey, students were asked to choose their favorite vacation destination. The results are displayed by gender in the two-way frequency table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-7.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 2: Two-Way Relative Frequency Tables img 7\" width=\"515\" height=\"190\" \/><br \/>\na. Find the total for each gender by adding the frequencies in each row. Write the row totals in the Total column.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8228\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-5-300x127.jpg\" alt=\"grade 8 chapter 15 image 5\" width=\"300\" height=\"127\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-5-300x127.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-5.jpg 543w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nGirl = 7 + 3 + 2 = 12<br \/>\nBoy = 5 + 2 + 6 = 13<\/p>\n<p>Question 1.<br \/>\nb. Find the total for each preferred vacation spot by adding the frequencies in each column. Write the column totals in the Total row.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nSeashore = 7 + 5 = 12<br \/>\nMountains = 3 + 2 = 5<br \/>\nOther = 2 + 6 = 8<\/p>\n<p>Question 1.<br \/>\nc. Write the grand total (the sum of the row totals and the column totals) in the lower-right corner of the table.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\ngrand total = 25<\/p>\n<p>Question 1.<br \/>\nd. Create a two-way relative frequency table by dividing each number in the above table by the grand total. Write the quotients as decimals.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-8.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 2: Two-Way Relative Frequency Tables img 8\" width=\"525\" height=\"190\" \/><br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8230\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-6-300x110.jpg\" alt=\"grade 8 chapter 15 image 6\" width=\"300\" height=\"110\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-6-300x110.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-6.jpg 569w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n7\/25 = 0.28, 3\/25 = 0.12; 2\/25 = 0.08; 12\/25 = 0.48<br \/>\n5\/25 = 0.2; 2\/25 = 0.08; 6\/25 = 0.24; 13\/25 = 0.52<br \/>\n12\/25 = 0.48; 5\/25 = 0.2; 8\/25= 0.32; 25\/25 = 1<\/p>\n<p>Question 1.<br \/>\ne. Use the table to find the joint relative frequency of students surveyed who are boys and who prefer vacationing in the mountains.<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nJoint relative frequency of boys = 2\/25 = 0.08<br \/>\nThese boys who prefer vacationing in the mountains.<\/p>\n<p>Question 1.<br \/>\nf. Use the table to find the marginal relative frequency of students surveyed who prefer vacationing at the seashore.<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nThe marginal relative frequency of studnets = 12\/25 = 0.48<br \/>\nThese are the number of students who prefer vacationing in the seashore.<\/p>\n<p>Question 1.<br \/>\ng. Find the conditional relative frequency that a student surveyed prefers vacationing in the mountains, given that the student is a girl. Interpret this result.<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nThe condition relative frequency of girls of row = 3\/12 = 0.25<br \/>\nAnd that of the column is 3\/5 = 0.6<br \/>\nThese are the number of girls who preferred vacationing in the mountains.<\/p>\n<p><strong>ESSENTIAL QUESTION CHECK-IN<\/strong><\/p>\n<p>Question 2.<br \/>\nHow can you use a two-way frequency table to learn more about its data?<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nThe two-way frequency table gives perfection and accuracy in calculating the data. It helps to calculate the total value two times while calculating the data of the row and to calculate the data of the column.<\/p>\n<h3><a id=\"Two-Way_Relative_Frequency_Tables_-_Page_No._463\"><\/a>15.2 Independent Practice &#8211; Two-Way Relative Frequency Tables &#8211; Page No. 463<\/h3>\n<p><strong>Stefan surveyed 75 of his classmates about their participation in school activities as well as whether they have a part-time job. The results are shown in the two-way frequency table. Use the table for Exercises 3\u20136.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-9.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 2: Two-Way Relative Frequency Tables img 9\" width=\"803\" height=\"232\" \/><\/p>\n<p>Question 3.<br \/>\na. Complete the table.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8232\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-7-300x88.jpg\" alt=\"grade 8 chapter 15 image 7\" width=\"300\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-7-300x88.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-7.jpg 548w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 3.<br \/>\nb. Explain how you found the correct data to enter in the table.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n1) In the first row of yes the values of sports only, Neither and total were provide. Also, in the 1st column of cubes only the values of No and total were providers. So, these values were subtracted and the value of yes was known.<br \/>\n2) The values in the 1st row of yes were added and subtracted from the total column. Hence the value in both columns was known. So, similarly, by adding and subtracting the values in the rows and columns the vacant values were known.<\/p>\n<p>Question 4.<br \/>\nCreate a two-way relative frequency table using decimals. Round to the nearest hundredth.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-10.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 2: Two-Way Relative Frequency Tables img 10\" width=\"591\" height=\"174\" \/><br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-8235\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-8-300x65.jpg\" alt=\"grade 8 chapter 15 image 8\" width=\"300\" height=\"65\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-8-300x65.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/09\/grade-8-chapter-15-image-8.jpg 464w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nUsing the frequency table in problem 3, divide each number in each cell by 75, the grand total, and round to the nearest hundredth.<br \/>\nJob and clubs only: 10\/75 = 0.13<br \/>\nJob and sports only: 12\/75 = 0.16<br \/>\nJob and both clubs not sports: 20\/75 = 0.27<br \/>\nJob and neither clubs nor sports: 9\/75 = 0.12<br \/>\nJob total: 51\/75 = 0.68<br \/>\nNo jobs and clubs only: 5\/75 = 0.07<br \/>\nNo Job and sports only: 6\/75 = 0.08<br \/>\nNo job and both clubs and sports: 10\/75 = 0.13<br \/>\nNo Job and neither clubs nor sports: 3\/75 = 0.04<br \/>\nNo Job total: 24\/75 = 0.32<br \/>\nClubs only total: 15\/75 = 0.2<br \/>\nSports only total: 18\/75 = 0.24<br \/>\nBoth clubs and sports total: 30\/75 = 0.4<br \/>\nNeither clubs nor sports total: 12\/75 = 0.16<br \/>\nTotal: 75\/75 = 1.00<br \/>\nUse the totals above to create a two-way frequency table.<\/p>\n<p>Question 5.<br \/>\nGive each relative frequency as a percent.<br \/>\na. the joint relative frequency of students surveyed who participate in school clubs only and have part-time jobs<br \/>\n_________ %<\/p>\n<p>Answer:<br \/>\n13%<\/p>\n<p>Explanation:<br \/>\nThe joint relative frequency of students surveyed who participate in school clubs only and have part-time jobs 0.13 or 13%<br \/>\n(Job and clubs only: 10\/75 = 0.13)<\/p>\n<p>Question 5.<br \/>\nb. the marginal frequency of students surveyed who do not have a part-time job<br \/>\n_________ %<\/p>\n<p>Answer:<br \/>\n32%<\/p>\n<p>Explanation:<br \/>\nThe marginal frequency of students surveyed who do not have a part time job is 0.32 or 32%<br \/>\n(No job total: 24\/75 = 0.32)<\/p>\n<p>Question 5.<br \/>\nc. the conditional relative frequency that a student surveyed participates in both school clubs and sports, given that the student has a part-time job<br \/>\n_________ %<\/p>\n<p>Answer:<br \/>\n39%<\/p>\n<p>Explanation:<br \/>\nThe conditional relative frequency that a student surveyed participates in both school clubs and sports, given that the student has a part-time job is 0.39 or 39%<br \/>\n(20\/51 = 0.39)<\/p>\n<h3><a id=\"Two-Way_Relative_Frequency_Tables_-_Page_No._464\"><\/a>Two-Way Relative Frequency Tables &#8211; Page No. 464<\/h3>\n<p>Question 6.<br \/>\nDiscuss possible influences of having a part-time job on participation in school activities. Support your response with an analysis of the data.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nThe joint relative frequency of students surveyed who participate in school activities and have part-time jobs is 0.27 or 27%.<br \/>\nThe joint relative frequency of students surveyed who participate in school activities and do not have part-time jobs is 0.13 or 13%.<br \/>\nThis means that the students who have jobs are more likely to participate in school activities than the students who do not have jobs.<\/p>\n<p><strong>FOCUS ON HIGHER ORDER THINKING<\/strong><\/p>\n<p>Question 7.<br \/>\nThe head of quality control for a chair manufacturer collected data on the quality of two types of wood that the company grows on its tree farm. The table shows the acceptance and rejection data.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-11.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Lesson 2: Two-Way Relative Frequency Tables img 11\" width=\"642\" height=\"234\" \/><br \/>\na. Critique Reasoning To create a two-way relative frequency table for this data, the head of quality control divided each number in each row by the row total. Is this correct? Explain.<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nNo, it is not correct for the head of quality control to divide each number in each row by the row total to create a two-way relative frequency table. Each data value should have been divided by 600, the grand total, not by the row total.<\/p>\n<p>Question 7.<br \/>\nb. Draw Conclusions Are any of the data the head of quality control entered into the two-way relative frequency table correctly? If so, which is and which isn\u2019t? Explain.<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nSince the head of quality control divided incorrectly, the top two rows are incorrect. However, the bottom row has correct data because each number in the bottom row was divide by the grand total.<\/p>\n<p>Question 8.<br \/>\nAnalyze Relationships What is the difference between relative frequency and conditional relative frequency?<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nRelative frequency is found by dividing a frequency by the grand total while conditional relative frequency is found by dividing a frequency that is not in the Total row or the Total column by the frequency&#8217;s row total or column total.<\/p>\n<h3><a id=\"Model_Quiz_-_Page_No._465\"><\/a>Ready to Go On? &#8211; Model Quiz &#8211; Page No. 465<\/h3>\n<p><strong>15.1 Two-Way Frequency Tables<\/strong><\/p>\n<p><strong>Martin collected data from students about whether they played a musical instrument. The table shows his results. Use the table for Exercises 1\u20134.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-12.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Model Quiz img 12\" width=\"363\" height=\"131\" \/><\/p>\n<p>Question 1.<br \/>\nOf the students surveyed, how many played an instrument?<br \/>\n__________ students<\/p>\n<p>Answer:<br \/>\n90 students<\/p>\n<p>Explanation:<br \/>\nOf the students surveyed, 90 students played an instrument<\/p>\n<p>Question 2.<br \/>\nHow many girls surveyed did NOT play an instrument?<br \/>\n__________ girls<\/p>\n<p>Answer:<br \/>\n40 girls<\/p>\n<p>Explanation:<br \/>\n(No. of boys did not play a musical instrument) + (No.of girls did not play a musical instrument) = (Total no. of students did not play an instrument)<br \/>\n70 + x = 110<br \/>\nx = 40<br \/>\nSo, the no. of girls did not play a musical instrument = 40.<\/p>\n<p>Question 3.<br \/>\nWhat is the relative frequency of a student playing an instrument? Write the answer as a percent.<br \/>\n________ %<\/p>\n<p>Answer:<br \/>\n45%<\/p>\n<p>Explanation:<br \/>\nThe relative frequency of a student playing an instrument in this case, 90 out of 200 students play a musical instrument<br \/>\n(90\/200) . 100 = 45%<\/p>\n<p>Question 4.<br \/>\nWhat is the relative frequency of playing an instrument among boys? Write the answer as a decimal.<br \/>\n________ %<\/p>\n<p>Answer:<br \/>\n38%<\/p>\n<p>Explanation:<br \/>\nthe relative frequency of playing an instrument among boys<br \/>\n(42\/112) . 100 = 37.5% or 38%<\/p>\n<p><strong>15.2 Two-Way Relative Frequency Tables<\/strong><\/p>\n<p><strong>Students were asked how they traveled to school. The two-way relative frequency table shows the results. Use the table for Exercises 5\u20137. Write answers as decimals rounded to the nearest hundredth.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-13.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Model Quiz img 13\" width=\"334\" height=\"158\" \/><\/p>\n<p>Question 5.<br \/>\nWhat is the joint relative frequency of high school students who ride the bus?<br \/>\n________<\/p>\n<p>Answer:<br \/>\nThe joint relative frequency of high school students who ride the bus is 0.12<\/p>\n<p>Question 6.<br \/>\nWhat is the marginal relative frequency of students surveyed who are in middle school?<br \/>\n________<\/p>\n<p>Answer:<br \/>\nThe marginal frequency of students surveyed in middle school is 0.42<\/p>\n<p>Question 7.<br \/>\nWhat is the conditional relative frequency that a student rides the bus, given that the student is in middle school?<br \/>\n________<\/p>\n<p>Answer:<br \/>\n0.62<\/p>\n<p>Explanation:<br \/>\nThe conditional relative frequency that a student rides the bus given that the student is in middle school.<br \/>\nTotal no. of students going to bus = 0.26<br \/>\nStudents who ride the bus (who are a middle school) = 0.42<br \/>\nConditional relative frequency = 0.26\/0.42 = 0.62<\/p>\n<p><strong>ESSENTIAL QUESTION<\/strong><\/p>\n<p>Question 8.<br \/>\nHow can you use two-way tables to solve real-world problems?<br \/>\nType below:<br \/>\n_______________<\/p>\n<p>Answer:<br \/>\nAccuracy in the calculation of the data as it maintains decently in a suitable format. It helps to measure each and every frequency easily as the values are placed individually. Also, helps to measure the total of each row and column separately. So, since the data represented is suitable it makes the person understand and solve the problem.<\/p>\n<h3><a id=\"Mixed_Review_-_Page_No._466\"><\/a>Selected Response &#8211; Mixed Review &#8211; Page No. 466<\/h3>\n<p><strong>The table gives data on the length of time that teachers at Tenth Avenue School have taught. Use the table for Exercises 1\u20135.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-14.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Mixed Review img 14\" width=\"329\" height=\"148\" \/><\/p>\n<p>Question 1.<br \/>\nHow many female teachers have taught for fewer than 10 years?<br \/>\nOptions:<br \/>\na. 4<br \/>\nb. 9<br \/>\nc. 21<br \/>\nd. 30<\/p>\n<p>Answer:<br \/>\nc. 21<\/p>\n<p>Explanation:<br \/>\n(No. of male teachers who have taught fewer than 10 years) + (No. of female teachers who have taught fewer than 10 years) = 30<br \/>\n9 + x = 30<br \/>\nx = 21<br \/>\nThe number of female teachers who have taught fewer than 10 years is 21.<\/p>\n<p>Question 2.<br \/>\nWhat is the relative frequency of teachers who have taught for 10 or more years?<br \/>\nOptions:<br \/>\na. 10%<br \/>\nb. 25%<br \/>\nc. 30%<br \/>\nd. 60%<\/p>\n<p>Answer:<br \/>\nb. 25%<\/p>\n<p>Explanation:<br \/>\nThe relative frequency of teachers who have taught more than 10 or more years.<br \/>\nTotal no. of teachers = 40<br \/>\nNo. of teachers who taught more than 10 years = 10<br \/>\nRelative frequency = (10\/40) . 100 = 25%<\/p>\n<p>Question 3.<br \/>\nWhat is the relative frequency of having taught for fewer than 10 years among male teachers?<br \/>\nOptions:<br \/>\na. 0.09<br \/>\nb. 0.225<br \/>\nc. 0.6<br \/>\nd. 1.50<\/p>\n<p>Answer:<br \/>\nc. 0.6<\/p>\n<p>Explanation:<br \/>\nThe relative frequency of male teachers who have taught fewer than 10 or more years.<br \/>\nTotal no. of teachers = 15<br \/>\nNo. of male teachers who taught for fewer than 10 years = 9<br \/>\nRelative frequency = (9\/15) = 0.6<\/p>\n<p>Question 4.<br \/>\nWhat is the joint relative frequency of female teachers who have taught for more than 10 years?<br \/>\nOptions:<br \/>\na. 4%<br \/>\nb. 10%<br \/>\nc. 16%<br \/>\nd. 25%<\/p>\n<p>Answer:<br \/>\nb. 10%<\/p>\n<p>Explanation:<br \/>\nThe relative frequency of female teachers who taught for more than 10 years is 4\/40 = 1\/10 = 0.1 \u00d7 100 to calculate the data in percentage<br \/>\n10%<\/p>\n<p>Question 5.<br \/>\nWhat is the marginal relative frequency of teachers who are female?<br \/>\nOptions:<br \/>\na. 0.16<br \/>\nb. 0.25<br \/>\nc. 0.4<br \/>\nd. 0.625<\/p>\n<p>Answer:<br \/>\nd. 0.625<\/p>\n<p>Explanation:<br \/>\nThe total no. of teachers who are female = 25<br \/>\nTotal no. of teachers = 40<br \/>\nMarginal frequency = 25\/40 = 0.625<\/p>\n<p>Question 6.<br \/>\nA triangle has an exterior angle of x\u00b0. Which of the following represents the measure of the interior angle next to it?<br \/>\nOptions:<br \/>\na. (180 \u2212 x)\u00b0<br \/>\nb. (x \u2212 180)\u00b0<br \/>\nc. (90 \u2212 x)\u00b0<br \/>\nd. (x \u2212 90)\u00b0<\/p>\n<p>Answer:<br \/>\na. (180 \u2212 x)\u00b0<\/p>\n<p>Explanation:<br \/>\nThe triangle has an exterior angle of x\u00b0. Let that angle be Angle ACD. So, the angle next to it is<br \/>\nAngle ACD + Angle ACB = 180\u00ba<br \/>\nAngle ACB = (180 \u2212 x)\u00b0<\/p>\n<p>Question 7.<br \/>\nWhat is the volume of a cone that has a diameter of 12 cm and a height of 4 cm? Use 3.14 for \u03c0 and round to the nearest tenth.<br \/>\nOptions:<br \/>\na. 25.12 cm<sup>3<\/sup><br \/>\nb. 602.88 cm<sup>3<\/sup><br \/>\nc. 150.72 cm<sup>3<\/sup><br \/>\nd. 1,808.64 cm<sup>3<\/sup><\/p>\n<p>Answer:<br \/>\nc. 150.72 cm<sup>3<\/sup><\/p>\n<p>Explanation:<br \/>\nDiameter = 12cm<br \/>\nRadius r = 6cm<br \/>\nheight h = 4cm<br \/>\nSo, the volume of the cone = 1\/3 . \u03c0 . r\u00b2. h<br \/>\n= 1\/3 . 6 . 6 . 4 . 3.14 = 150.72 cm\u00b3<\/p>\n<p><strong>Mini-Task<\/strong><\/p>\n<p>Question 8.<br \/>\nThe table gives data on books read by members of the Summer Reading Club.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-8-Answer-Key-Chapter-15-Two-Way-Tables-img-15.jpg\" alt=\"Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables Mixed Review img 15\" width=\"335\" height=\"143\" \/><br \/>\na. Find the relative frequency of a club member reading fewer than 25 books.<br \/>\n________ %<\/p>\n<p>Answer:<br \/>\n25%<\/p>\n<p>Explanation:<br \/>\nThe relative frequency of a club member reading fewer than 25 books is<br \/>\nTotal of 16 members read fewer than 25 books<br \/>\n16\/64 = 0.25 or 25%<\/p>\n<p>Question 8.<br \/>\nb. Find the relative frequency of reading fewer than 25 books among girl club members.<br \/>\n________ %<\/p>\n<p>Answer:<br \/>\n14%<\/p>\n<p>Explanation:<br \/>\nThe relative frequency of a girl club member reading fewer than 25 books is<br \/>\n9\/64 = 0.14 or 14%<\/p>\n<p>Question 8.<br \/>\nc. Is there an association between being a girl and reading fewer than 25 books? Explain.<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nNo, there isn&#8217;t any association between being a girl and reading fewer than 25 books. Because it is a choice depending on an individual to read as many books as he\/she can and comparing with the boys reading fewer than 25 books because the number of girls reading these books is comparatively greater.<\/p>\n<h3>Conclusion:<\/h3>\n<p>Keep in touch with us to get the step by step explanation for Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables. Hope the information given by our team is beneficial for all the students of 8th standard. Build your self-confidence and prove yourself with the help of our Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables. After your preparation, we suggest you to solve the problems given in the review test. All the Best!!!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hey guys! Are you searching for the Go Math Grade 8 Answer Key Chapter 15 Two-Way Tables on various sites? If your answer is yes, then don&#8217;t worry you are on the right page. Here you can get the best answers for Go Math Grade 8 Chapter 15 Two-Way Tables. 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