Engage NY Eureka Math Grade 6 Module 6 Lesson 17 Answer Key
Eureka Math Grade 6 Module 6 Lesson 17 Review of Statistical Questions Answer Key
Exploratory Challenge:
Review of Statistical Questions:
Statistical questions you investigated in this module included the following:
- How many hours of sleep do sixth-graders typically get on a night when there is school the next day?
- What is the typical number of books read over the course of 6 months by a sixth-grader?
- What is the typical heart rate of a student in a sixth-grade class?
- How many hours does a sixth-grader typically spend playing a sport or a game outdoors?
- What are the head circumferences of adults interested in buying baseball hats?
- How long is the battery life of a certain brand of batteries?
- How many pets do students have?
- How long does it take students to get to school?
- What is a typical daily temperature in New York City?
- What is the typical weight of a backpack for students at a certain school?
- What is the typical number of french fries in a large order from a fast-food restaurant?
- What is the typical number of minutes a student spends on homework each day?
- What is the typical height of a vertical jump for a player in the NBA?
Question 1.
What do these questions have in common?
Answer:
All of these questions are statistical questions because they can be answered by collecting data, and there is variability in the data.
Question 2.
Why do several of these questions include the word typical?
Answer:
Answers will vary. Students may focus on the idea that typical suggests finding a single number that summarizes the data collected to answer the statistical question.
Eureka Math Grade 6 Module 6 Lesson 17 Review of Statistical Investigation Answer Key
A Review of a Statistical Investigation:
Recall from the very first lesson in this module that a statistical question is a question answered by data that you anticipate will vary. Let’s review the steps of a statistical investigation.
Step 1: Pose a question that can be answered by data.
Step 2: Collect appropriate data.
Step 3: Summarize the data with graphs and numerical summaries.
Step 4: Answer the question posed in Step 1 using the numerical summaries and graphs.
The first step is to pose a statistical question. Select one of the questions investigated in this module, and write it in the following Statistical Study Review Template.
The second step is to collect the data. In all of these investigations, you were given data. How do you think the data for the question you selected in Step 1 were collected? Write your answer in the summary below for Step 2.
The third step involves the various ways you summarize the data. List the various ways you summarized the data in the space for Step 3.
Question 1.
Statistical Study Review Template
| Step 1: Pose a Statistical Question. |
| Step 2: Collect the data. |
| Step 3: Summarize the data. |
| Step 4: Answer the question. |
Answer:
Step 1: Pose a statistical question.
How many hours of sleep do sixth-graders typically get on a night when there is school the next day? (Lesson 3)
Step 2: Collect the data.
Students from a sixth-grade class might have been asked to indicate how many hours they slept. The data would consist of the answers from all of the students.
Step 3: Summarize the data.
The first summary was to organize the data in a dot plot. This data set indicated a nearly symmetrical data distribution. Numerical summaries of the mean and the MAD or the median and IQR would provide o description of the typical number of hours of sleep for sixth-grade students and a measure of how much variability there was in the sleep times.
Step 4: Answer the question.
From the data, we can see that the typical sixth-grader gets about 8. 5 hours of sleep when there is school the next day because this is the mean of the data. The MAD is only 1 hour, so there is not o lot of variability in the data.
Eureka Math Grade 6 Module 6 Lesson 17 Developing Statistical Questions Answer Key
Developing Statistical Questions:
Now it is your turn to answer a statistical question based on the data you collect. Before you collect the data, explore possible statistical questions. For each question, indicate the data that you would collect and summarize to answer the question. Also, indicate how you plan to collect the data.
Think of questions that could be answered by data collected from members of your class or school or data that could be collected from recognized websites (such as the American Statistical Association and the Census at School project). Your teacher will need to approve both your question and your plan to collect data before data are collected.
As a class, explore possibilities for a statistical investigation. Record some of the ideas discussed by your class using the following table.
After discussing several of the possibilities for a statistical project, prepare a statistical question and a plan to collect the data. After your teacher approves your question and data collection plan, begin collecting the data.
Carefully organize your data as you begin developing the numerical and graphical summaries to answer your statistical question. In future lessons, you will be directed to begin creating a poster or an outline of a presentation that will be shared with your teacher and other members of your class.
Complete the following to present to your teacher:
1. The statistical question for my investigation is:
2. Here is how I propose to collect my data. (Include how you are going to collect your data and a clear description of what you plan to measure or count.)
Eureka Math Grade 6 Module 6 Lesson 17 Problem Set Answer Key
Your teacher will outline steps you are expected to complete In the next several days to develop this project. Keep In mind that the first step is to formulate a statistical question. With one of the statistical questions posed In this lesson or with a new one developed in this lesson, describe your question and pian to collect and summarize data. Complete the process as outlined by your teacher.
A formal Problem Set has not been added to this lesson. However, teachers are encouraged to design a Problem Set based on students’ progress during this lesson. The following options are possible ideas for designing a Problem Set. Teacher discretion in organizing the project is important.
Option 1:
Students who struggled with completing the four-step table developed around one of the questions used in this lesson should be encouraged to select a different question and complete the table for this second question. The first three steps provide students with a structure for connecting a question to a plan for collecting and then summarizing data.
These steps were illustrated in the previous lessons; however, in this lesson, students need to bring the steps together. Once students understand these steps for a given question, they are ready to formulate their own questions and data collection plans.
Option 2:
Students provide a question and a data collection plan to the teacher for review as outlined in the lesson. Direct students to complete the four-step table for their questions and plans. Using the table provided in this lesson is an excellent way for students to organize their progress, plus it provides a good record for the teacher to understand how students are thinking at the beginning of this project.
For students ready to begin this process, direct them to provide a summary of their statistical questions, a plan for collecting the data, and a summary of the data they anticipate to collect. Although these steps were discussed in the lesson, organizing this into a table similar to the one presented in the lesson provides a summary of student progress. Periodically ask students during the next several days for an update on their progress by providing a summary of the table used in this lesson.
Option 3:
For students going beyond the questions outlined in the lesson, they need to provide specific descriptions of what they plan to research and how they plan to collect the data.
For example, if a student proposed to explore research on honeybees, make sure the student clearly indicates the statistical question (or the question to be answered by data that are anticipated to vary), where she plans to obtain the data, and how she plans to summarize the data. A brief written report or summary of student progress might constitute a workable Problem Set option for students at this level.
Eureka Math Grade 6 Module 6 Lesson 17 Exit Ticket Answer Key
Question 1.
What is a statistical question?
Answer:
A statistical question is one that can be answered by collecting data and where there is variability in the data.
Question 2.
What are the four steps in a statistical investigation?
Answer:
Step 1: Pose a statistical question.
Step 2: Collect data.
Step 3: Summarize the data.
Step 4: Answer the statistical question posed.