# Lesson 16

Box Plots

Let's explore how box plots can help us summarize distributions.

### Problem 1

Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data.

1. What is the greatest number of books read by a student in this group?
2. What is the median number of books read by the students?
3. What is the interquartile range (IQR)?

### Problem 2

Use this five-number summary to draw a box plot. All values are in seconds.

• Minimum: 40
• First quartile (Q1): 45
• Median: 48
• Third quartile (Q3): 50
• Maximum: 60

### Problem 3

The data shows the number of hours per week that each of 13 seventh-grade students spent doing homework. Create a box plot to summarize the data.

• 3
• 10
• 12
• 4
• 7
• 9
• 5
• 5
• 11
• 11
• 5
• 12
• 11

### Problem 4

The box plot displays the data on the response times of 100 mice to seeing a flash of light. How many mice are represented by the rectangle between 0.5 and 1 second?

### Problem 5

Here is a dot plot that represents a data set. Explain why the mean of the data set is greater than its median.