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4 December, 10:19

The following data consists of the scores in a statistics exam. What is the inter-quartile range of this data rounded to the nearest whole number? 80, 99, 77, 67, 93, 71, 76, 86, 79, 71

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  1. 4 December, 10:20
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    IQ R = 15

    Step-by-step explanation:

    given numbers,

    80, 99, 77, 67, 93, 71, 76, 86, 79, 71

    arranging numbers in ascending order

    67, 71, 71, 76, 77 : 79, 80, 86, 93, 99

    lower half : upper half

    inter quartile range = IQR = Q₂ - Q₁

    Q₂ = median of the upper half

    = 86

    Q₁ = median of the lower half

    = 71

    so,

    IQ R = Q₂ - Q₁

    = 86 - 71

    IQ R = 15
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