# Lesson 16

Compare & Contrast

- Let’s analyze data

### 16.1: Math Talk: Measuring Up

What is the distance between the markings?

### 16.2: Compare & Contrast

Here are the shoe sizes from two cohorts in the military.

Cohort A:

Cohort B:

- Is there any overlap between the two data sets? Explain your reasoning.
- Which cohort has more variability?
- Does at least one person from cohort A have a bigger shoe size than someone from cohort B? Explain your reasoning.
- Compare the measures of center.

### 16.3: Compare & Contrast Continued

Here are the shoes sizes of some grade 9 and grade 12 students.

Grade 9 shoe sizes:

- 6
- 8
- 6.5
- 7.5
- 7
- 6.5
- 9
- 6
- 8.5
- 7.5
- 8
- 10
- 11
- 8
- 9

Grade 12 shoe sizes:

- 10
- 9
- 10.5
- 8.5
- 10
- 9
- 9.5
- 8
- 8
- 11
- 9
- 9.5
- 11
- 10.5
- 8.5

- Create a box plot, dot plot, or histogram to represent both sets of data.
- Describe the distribution shapes.
- Complete the table.
mean median IQR standard deviation grade 9

shoe sizesgrade 12

shoe sizes - Does one grade’s shoe sizes have more variation than the other? Explain how you know.
- Compare the measures of center for the two sets of shoe sizes.
- Do the distributions overlap? Use the data display you created to explain how you know.