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Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

A sorted data set is: 4, 7, 8, 10, 11, 12, 14, 16, 18, 22.

Sorted Data (n=10) 4 7 8 10 11 12 14 16 18 22

What are Q1, median, and Q3?

  • A

    Q1 = 8, Median = 11.5, Q3 = 16

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  • B

    Q1 = 8.5, Median = 11.5, Q3 = 15.5

  • C

    Q1 = 7, Median = 11, Q3 = 14

  • D

    Q1 = 10, Median = 12, Q3 = 14

Explanation

Median = (11+12)/2 = 11.5. Lower half {4,7,8,10,11}: median = 8 (Q1). Upper half {12,14,16,18,22}: median = 16 (Q3).

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