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29 July, 02:02

What is the standard deviation of the data set given below? 2,6,7,10,10

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  1. 29 July, 02:26
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    Average = (2 + 6 + 7 + 10 + 10) / 5 = 35/5 = 7

    x - mean, square.

    2 - 7 = - 5, - 5² = 25

    6 - 7 = - 1, - 1² = 1

    7 - 7 = 0, 0² = 0

    10 - 7 = 3, 3² = 9

    10 - 7 = 3, 3² = 9

    Sum of square = 25 + 1 + 0 + 9 + 9 = 44

    Variance = 44/5 = 8.8

    Standard deviation = √variance = √8.8 ≈ 2.966
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