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20 November, 12:46

the number of kittens in 10 litters: 4, 5, 5, 6, 6, 7, 8, 8, 8, and 9 find the mean average deviation for each data set

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  1. 20 November, 13:06
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    The mean average deviation of the given data set: 4, 5, 5, 6, 6, 7, 8, 8, 8, 9

    is 2

    Step-by-step explanation:

    Given the data set:

    4, 5, 5, 6, 6, 7, 8, 8, 8, 9.

    To find the mean average deviation,

    First of all, find the mean, M.

    M = Sum of elements of data set : Number of elements of data set.

    M = (4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9) / 10

    = 66 / 10

    = 6.6

    Mean = 6.6

    Next, find the deviation of each element by subtracting each of them from the mean, and taking the absolute value of each (only the positive value).

    Deviation: 2.6, 1.6, 1.6, 0.6, 0.6, 1.6, 2.6, 2.6, 2.6, 3.6.

    Next, find the mean average deviation by summing the deviation from each element, and dividing the result by the number of elements.

    (2.6 + 1.6 + 1.6 + 0.6 + 0.6 + 1.6 + 2.6 + 2.6 + 2.6 + 3.6) / 10

    = 20/10

    = 2

    Therefore, the mean average deviation is 2
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