Median and Interquartile Range Quiz

Match the vocabulary word with the correct definition below:

• another name for the mean of a set

• median

• middle number when data set is in order

• mean absolute deviation (MAD)

• value that seems typical for a data set

• average

• one way to measure center of data set

• measure of center

• one way to measure spread of a data set

• mean

Match the vocabulary word with the correct definition below:

• distance from smallest to largest values

• 5 number summary

• a way to split data into four sections

• quartile

• list of data set's min, Q1, Q2, Q3, max

• Interquartile Range (IQR)

• difference between Q1 & Q3 (middle 50%)

• range

Calculate the mean of the data set shown on the dot plot.

HINT: Remember to add ALL of the data values together and then divide the total by the number of data values.

• 19

• 20

• 21

• 22

What is the mean absolute deviation (MAD) of the data set represented on the dot plot?

HINT: To find the MAD, add up the distances between each data value and the mean. Then, divide by the total number of data values.​

• 1

• 1.2

• 2

• 2.5

What is the median of the data set represented?

HINT: Don't forget to put the numbers in order from least to greatest before you do anything else!

• 25

• 20

• 40

• 32

True or False: The spread of the data is the same for both dot plots.

• True

• False

What can you say about the mode of the data set?

• The mode is 22 which represents the number of watermelons that weighed the most in pounds.

• The mode is 22 which represents the most number of watermelons out of all of the different weights.

The art teacher looked at how many sheets of art paper each of her 25 students used in a semester. The first quartile is 13 sheets of paper.

Which of the following can you say about the first quartile?

• 25% of the students used less than 13 sheets?

• 25% of the students used more than 13 sheets?

Which dot plot shows greater variability?

• The dot plot on the top.

• The dot plot on the bottom.