Practice Box Plot in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A box plot displays the five-number summary (minimum, Q1, median, Q3, maximum) of a data set using a box and whiskers.

A summary of spread and center in one picture. Box shows the middle 50\%.

Example 1

medium
For the data set \{3, 7, 8, 10, 12, 14, 18, 20, 25, 100\}, construct a box plot and identify any outliers using the 1.5 \times IQR rule.

Example 2

medium
Two box plots compare exam scores for two classes. Class A: median=72, Q_1=65, Q_3=80. Class B: median=78, Q_1=70, Q_3=85. Compare center and spread for both classes.

Example 3

easy
A box plot shows: minimum=10, Q_1=25, median=40, Q_3=55, maximum=70. Calculate the IQR and determine the fence values for outlier detection.

Example 4

hard
A data set has Q_1 = 20, Q_3 = 35, and a suspected outlier at value 60. Determine whether 60 is truly an outlier using the 1.5 \times IQR rule, and explain how removing it would affect the box plot.
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