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Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

A small data set has standard deviation s = 4.5 grams. A student is asked to report the variance.

Summary Statistics Statistic Value Mean 28.4 g SD (s) 4.5 g Variance ?

What is the variance of this data set?

  • A

    2.12 grams

  • B

    4.5 grams

  • C

    20.25 grams squared

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  • D

    9 grams squared

Explanation

Variance is the square of the standard deviation: 4.5² = 20.25 grams².

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