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7 July, 21:35

Compute the standard deviation for the set of data.

2,5, 6, 8, 14

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  1. 7 July, 21:54
    0
    4.

    Step-by-step explanation:

    First work out the mean:

    Mean = (2 + 5 + 6 + 8 + 14) / 5

    = 35/5 = 7.

    Now subtract the mean form each of the values:

    2 - 7 = - 5

    5 - 7 = - 2

    6 - 7 = - 1

    8 - 7 = 1

    7 - 14 = - 7.

    The squares of these are 25, 4, 1, 1, 49

    Their sum = 25 + 4 + 1 + 1 + 49 = 80

    Now divide this by 5 = 16.

    Standard deviation is √16 = 4.
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