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18 December, 17:23

If z=2.5, x=102 and x=100, what is s?

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  1. 18 December, 17:38
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    I believe the problem ask for s which is the standard deviation. We must recall that the formula for z statistic is stated as:

    z = (x - x over bar) / s

    Where,

    z = z statistic = 2.5

    x = sample value or sample score = 102

    x over bar = the sample mean or sample average = 100

    s = standard deviation = unknown

    Rewriting the equation in terms of s:

    s = (x - x over bar) / z

    Substituting the given values into the equation:

    s = (102 - 100) / 2.5

    s = 0.8

    Therefore the standard deviation s is 0.8
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