Describing the Distribution of a Quantitative Variable

AP Statistics· difficulty 3/5

Wait times (in minutes) at a clinic for 9 patients are listed in order. Q1 = 4.5 and Q3 = 8.5.

Sorted Data: Wait Times (min) 2 4 5 5 6 7 8 9 25 Q1 = 4.5, Q3 = 8.5

Using the 1.5×IQR rule, which value(s) are outliers?

  • A

    9 and 25

  • B

    None

  • C

    2 and 25

  • D

    25 only

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Explanation

IQR = 4. Upper fence = 8.5 + 6 = 14.5; lower fence = 4.5 − 6 = −1.5. Only 25 exceeds 14.5.

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