Practice Box Plot in Statistics

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

Quick Recap

A visual display showing the five-number summary: minimum, Q1, median, Q3, and maximum, often with outliers marked separately.

A box plot is like an X-ray of your data's skeleton. The box shows where the middle 50% of data lives. The line inside is the median. The whiskers stretch to the extremes. You instantly see the center, spread, and any unusual values.

Example 1

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Data: 2, 4, 5, 7, 8, 9, 11, 13, 15. Find the five-number summary and describe how to draw a box plot.

Example 2

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A box plot shows: Min = 10, Q1 = 20, Median = 35, Q3 = 50, Max = 90. Calculate the IQR and determine if a value of 100 would be an outlier using the 1.5ร—IQR rule.

Example 3

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Data: 3, 5, 6, 8, 10, 12, 14. Find the five-number summary.

Example 4

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A box plot has Min = 4, Q1 = 9, Median = 12, Q3 = 18, Max = 21. Find the interquartile range and state the interval containing the middle 50% of the data.