# Lesson 5

Calculating Measures of Center and Variability

### Problem 1

The data set represents the number of errors on a typing test.

- 5
- 6
- 8
- 8
- 9
- 9
- 10
- 10
- 10
- 12

- What is the median? Interpret this value in the situation.
- What is the IQR?

### Solution

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### Problem 2

The data set represents the heights, in centimeters, of ten model bridges made for an engineering competition.

- 13
- 14
- 14
- 16
- 16
- 16
- 16
- 18
- 18
- 19

- What is the mean?
- What is the MAD?

### Solution

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### Problem 3

Describe the shape of the distribution shown in the dot plot. The dot plot displays the golf scores from a golf tournament.

### Solution

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(From Unit 1, Lesson 4.)### Problem 4

The dot plot shows the weight, in grams, of several different rocks. Select **all** the terms that describe the shape of the distribution.

bell-shaped

bimodal

skewed

symmetric

uniform

### Solution

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(From Unit 1, Lesson 4.)### Problem 5

The dot plot represents the distribution of wages earned during a one-week period by 12 college students.

- What is the mean? Interpret this value based on the situation.
- What is the median? Interpret this value based on the situation.
- Would a box plot of the same data have allowed you to find both the mean and the median?

### Solution

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(From Unit 1, Lesson 3.)### Problem 6

The box plot displays the temperature of saunas in degrees Fahrenheit. What is the median?

### Solution

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(From Unit 1, Lesson 2.)