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30 August, 15:43

What is the variance of the data set? 8, 9, 10, 16, 17

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  1. 30 August, 15:59
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    Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.

    x - mean:

    8 - 12 = - 4, - 4² = 16

    9 - 12 = - 3, - 3² = 9

    10 - 12 = - 2, - 2² = 4

    16 - 12 = 4, 4² = 16

    17 - 12 = - 5, - 5² = 25

    Sum of the squares = 16 + 9 + 4 + 16 + 25 = 70

    Variance = 70/5 = 14

    Variance = 14
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