# Lesson 4

The Shape of Distributions

- Let’s explore data and describe distributions.

### Problem 1

Which of the dot plots shows a symmetric distribution?

A:

B:

C:

D:

### Problem 2

Which of the dot plots shows a skewed distribution?

A:

B:

C:

D:

### Problem 3

Create a dot plot showing a uniform distribution.

### Problem 4

The data represent the number of ounces of water that 26 students drank before donating blood: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.

- Create a dot plot for the data.
- Create a box plot for the data.
- What information about the data is provided by the box plot that is not provided by the dot plot?
- What information about the data is provided by the dot plot that is not provided by the box plot?
- It was recommended that students drink 48 or more ounces of water. How could you use a histogram to easily display the number of students who drank the recommended amount?

### Problem 5

The box plot represents the distribution of the number of points scored by a cross country team at 12 meets.

- If possible, find the mean. If not possible, explain why not.
- If possible, find the median. If not possible, explain why not.
- Did the cross country team ever score 30 points at a meet?