Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

A data set is {2, 3, 4, 5, 6}. A new outlier value of 100 is added.

Original + Added Outlier 2,3,4,5,6 100

Which statistic increases the MOST after adding 100?

  • A

    Minimum

  • B

    Standard deviation

    check_circle
  • C

    IQR

  • D

    Median

Explanation

SD measures spread from the mean. Adding 100 dramatically increases distances from the mean. Median, IQR, and min are resistant.

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