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24 June, 06:25

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2?

Set 1: 82, 80, 90

Set 2: 82, 80, 60, 90

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  1. 24 June, 06:36
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    Mean Absolute deviation for (set 1) : 4

    Mean Absolute deviation for (set 2) : 9

    Set 2 has a lower (MAD) mean absolute deviation that Set 1.

    Step-by-step explanation:

    (set 1)

    Mean: 80 + 82 + 90 = 252/3 = 84

    84 - 80 = 4

    84 - 82 = 2

    84 - 90 = 6

    Mean Absolute Deviation: 2 + 4 + 6 = 12/3 = 4

    (set 2)

    Mean: 60 + 80 + 82 + 90 = 312/4 = 78

    78 - 60 = 18

    78 - 80 = 2

    78 - 82 = 4

    78 - 90 = 12

    Mean Absolute Deviation: 2 + 4 + 12 + 18 = 36/4 = 9
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