Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

A data set's largest value is replaced with a value 100 times larger. A student wonders which summary statistics will change.

Before vs After Replacing Max Before After

Which summary statistic is LEAST affected by this change?

  • A

    Median

    check_circle
  • B

    Standard deviation

  • C

    Mean

  • D

    Range

Explanation

The median depends only on position, not magnitude, so it is resistant to extreme values. The other three are sensitive.

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