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10 December, 15:18

A set of data has the values 34, 40, 42, 48, and 70. If the outlier of 70 is removed, what is the mean absolute deviation of the remaining four values?

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  1. 10 December, 18:38
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    Consider {34, 40, 42, 48}.

    The mean of the numbers

    = (34+40+42+48) / 4 = 41.

    The absolute deviations are |34-41|, |40-41|, |42-41| and |48-41|, that is, 7, 1, 1 and 7.

    Hence, the mean absolute deviation is

    (7+1+1+7) / 4 = 4.
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