Box Plots and Outliers

Practice Problem 1:

The box plot represents the number of math problems on the quizzes for an algebra course. What is the range of the data?

Practice Problem 2:

Which data set has an outlier?

• 6, 13, 13, 15, 15, 18, 18, 18

• 4, 4, 4, 8, 9, 9, 11, 18

• 2, 3, 5, 7, 8, 8, 9, 10, 12, 17

• 3, 6, 7, 7, 8, 8, 9, 9, 9, 10

Practice Problem 3:

The data set represents the number of snails that each person counted on a walk after a rainstorm. 12, 13, 22, 16, 6, 10, 13, 14, 12

What is the outlier of the data?

Practice Problem 4:

The data set represents the number of minutes Dan spent on his homework each night.

30, 35, 35, 45, 46, 46, 52, 55, 57

Which box plot correctly represents the data?

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The box plot represents the number of minutes customers spend on hold when calling a company.

What is the upper quartile of the data?

• 3

• 5

• 6

• 8

The data set represents the total number of tuba players in each of 11 different school bands.

0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8

What is the lower quartile of the data?

• 1

• 3

• 4

The data set represents the total number of pencils each student in a class needs to sharpen.

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

Which box plot correctly represents the data?

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The data set below has a lower quartile of 13 and an upper quartile of 37.

1, 12, 13, 15, 18, 20, 35, 37, 40, 78

Which statement is true about any outliers of the data set?

• The data set does not have any outliers.

• The lowest value, 1, is the only outlier.

• The greatest value, 78, is the only outlier.

• Both 1 and 78 are outliers.

The interquartile range of the data set is 4.

2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12

Which explains whether or not 12 is an outlier?

• Twelve is an outlier because it is greater than the sum of 7 and 4.

• Twelve is an outlier because it is less than the sum of 7 and 6.

• Twelve is not an outlier because it is greater than the sum of 7 and 4.

• Twelve is not an outlier because it is less than the sum of 7 and 6.

The data set represents the number of miles Mary jogged each day for the past nine days.

6, 7, 5, 0, 6, 12, 8, 6, 9

What is the outlier of the data?