# Lesson 5

Calculating Measures of Center and Variability

- Let’s calculate measures of center and measures of variability and know which are most appropriate for the data.

### 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?

### 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?

### Problem 3

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

### 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.

A:

bell-shaped

B:

bimodal

C:

skewed

D:

symmetric

E:

(From Unit 1, Lesson 4.)
uniform

### 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?

### Problem 6

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