# Calculating Measures of Center and Variability

ID: haput-bigog
Illustrative Mathematics, CC BY 4.0
Subject: Algebra, Algebra 2

13 questions

# Calculating Measures of Center and Variability

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##### Problem 1

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

5, 6, 8, 8, 9, 9, 10, 10, 10, 12

1) What is the median?

Show Work

2) Interpret this value in the situation.

3) What is the IQR?

Show Work
##### 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

4) What is the mean?

Show Work

Show Work
##### Problem 3

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

##### Problem 4

7) The dot plot shows the weight, in grams, of several different rocks. Select ﻿$\textbf{all}$﻿ the terms that describe the shape of the distribution. Write each corresponding letter in the answer box and separate letters with commas.

a) bell-shaped ﻿$\quad\quad$﻿ b) bimodal ﻿$\quad\quad$﻿ c) skewed ﻿$\quad\quad$﻿ d) symmetric ﻿$\quad\quad$﻿ e) uniform

##### Problem 5

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

8) What is the mean?

Show Work

9) Interpret this value based on the situation.

10) What is the median?

Show Work

11) Interpret this value based on the situation.

12) Would a box plot of the same data have allowed you to find both the mean and the median?

True or false? Write below.
##### Problem 6

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