Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

A data set's largest value is replaced by a much larger outlier.

Box does not change much Before After

What happens to the IQR?

  • A

    Increases dramatically

  • B

    Decreases

  • C

    Becomes negative

  • D

    Stays nearly the same

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Explanation

IQR is resistant to extreme values because Q1 and Q3 depend on order, not magnitude of extremes.

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