One-Variable Data: Distributions and Measures of Center and Spread

SAT Math· difficulty 4/5

A box plot has Q1 = 10, Q3 = 20. A value is typically considered an outlier if it falls outside Q1 - 1.5(IQR) or Q3 + 1.5(IQR). Is 35 an outlier?

  • A

    No, 35 equals the upper fence

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  • B

    Cannot determine

  • C

    Yes, 35 exceeds the upper fence of 35

  • D

    Yes, 35 > 20 + 1.5(10) = 35 boundary

Explanation

IQR = 10. Upper fence = 20+1.5(10)=3520 + 1.5(10) = 35. 35 equals the fence, so it's borderline (not strictly outside).

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