Self Check Exercise

Self Check Exercise

Critique

Opening

Critique

Review your work on the Self Check problem and think about these questions:

  1. Did you find the five-number summary? How can these values help you analyze the data?
  2. What is the sum of the data?
  3. How many data points are in each quartile?

Math Mission

Opening

Apply what you know about sampling and data analysis.

Revise Your Work

Step 1: Work Time

Revise Your Work

Work with your partner to revise your work on the Self Check problem based on the previous questions and feedback from your partner.

Self Check Problem

A school has 10 seventh grade classes, each with 30 students. Lucy wants to find out how well the students can estimate the weight of a gallon of water. She realizes that she cannot survey everyone, but she isn’t sure how to proceed.

  1. How could Lucy go about collecting her data? Lucy decides to start with a random sample of 10 seventh grade students. The students made the following estimates for the weight of a gallon of water (in pounds): 6, 7, 9, 8, 7, 10, 8, 6, 9, 8
  2. Based on this sample, what does a typical seventh grade student at the school think a gallon of water weighs?
  3. How did you reach your conclusion?
  4. Based on the sample, how many seventh grade students at the school think that a gallon of water weighs between 7 and 9 lbs?

Step 2: Work Time

Challenge Problem

  • Create a data set for a different group of 10 students such that the data set has a lower mean, a greater range, but the same median.
  • Compare your data set with that of another student. How are the data sets the same? How are they different?

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about your classmates’ approaches to revising the Self Check problem.

As your classmates present, ask questions such as:

  • What part of the task was the most difficult?
  • Did you and your partner ever disagree about some aspect of the problem? Did you resolve your difference of opinion? How?
  • How can you summarize the information in the line plots?
  • What measures of center did you use to determine a typical student?

Reflect on Your Work

Work Time

Reflection

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

Something I would do differently if I started the Self Check problem now is…