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12 October, 10:17

In a particular hospital, 5 newborn babies were delivered. here are their weights (in ounces) : 119, 104, 92, 97, 103 Assuming these weights constitute an entire population find the standard deviation of the population, round answers to at least two decimal places.

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  1. 12 October, 13:14
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    Answer: standard deviation is 6.96

    Step-by-step explanation:

    Let m be mean

    M=mean=sum/n

    M=525/5

    M=103

    The standard deviation formula is:

    S. D = sqrt (Summation of |x-m|^2 / n-1)

    Let start finding:

    |x-m|^2

    For 1st: |119-103|^2=36

    For 2nd: |104-103|^2=1

    For 3rd: |92-103|^2=121

    For 4th: |97-103|^2=36

    For 5th: |103-103|^2=0

    Summation of |x-m|^2 = 194

    The standard deviation formula is:

    S. D = sqrt (Summation of |x-m|^2 / n-1)

    S. D = sqrt (194 / 4)

    S. D=sqrt (48.5)

    S. D = 6.96
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