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Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

A statistician contrasts resistant and non-resistant statistics.

Resistant vs Sensitive Statistic Resistant? Mean No Median Yes SD No IQR / Q1 / Q3 Yes

Which set contains ONLY resistant statistics?

  • A

    Mean, median, mode

  • B

    Mean, SD, range

  • C

    Median, IQR, Q1, Q3

    check_circle
  • D

    SD, variance, IQR

Explanation

Median and quartiles depend only on positions, so they are resistant. Mean, SD, range, and variance are sensitive to extremes.

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