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19 January, 18:55

The arithmetic mean if ui = xi - 25 / 10 sigma fiui = 20 and sigma fi = 100 is

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  1. 19 January, 18:59
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    27

    Step-by-step explanation:

    Given the formula ui = xi - 25 / 10

    Note that the general formula for calculating ui = xi-A/n where;

    A = assumed mean

    n = class size

    On comparison with the given equation, A = 25 and h = 10

    Also arithmetic mean x = A + {h * sigma (fiui) / sigma (fi) } where;

    sigma (fiui) = 20 and sigma fi = 100

    Substituting the given value to get the mean x;

    x = 25 + (10*20/100)

    x = 25 + (200/100)

    x = 25 + 2

    x = 27

    The arithmetic mean is 27
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