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14 August, 07:23

Find the mean absolute deviation for each set of dа ta:

1. {3, 5, 6, 3, 2, 2, 1, 0, 0, 4, 7, 4, 5, 5, 6}

2. {-3, - 2, - 1, 0, 1, 2, 3}

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Answers (1)
  1. 14 August, 07:29
    0
    1) 1.8

    2) 1.7

    Step-by-step explanation:

    (for part A)

    Mean: 3 + 5 + 6 + 3 + 2 + 2 + 1 + 0 + 0 + 4 + 7 + 4 + 5 + 5 + 6 = 53/15 = 3.5

    3.5 - 3 = 0.5

    3.5 - 5 = 1.5

    3.5 - 6 = 2.5

    3.5 - 3 = 0.5

    3.5 - 2 = 1.5

    3.5 - 2 = 1.5

    3.5 - 1 = 2.5

    3.5 - 0 = 3.5

    3.5 - 0 = 3.5

    3.5 - 4 = 0.5

    3.5 - 7 = 3.5

    3.5 - 4 = 0.5

    3.5 - 5 = 1.5

    3.5 - 5 = 1.5

    3.5 - 6 = 2.5

    mean absolute deviation: 0.5 + 1.5 + 2.5 + 0.5 + 1.5 + 1.5 + 2.5 + 3.5 + 3.5 + 0.5 + 3.5 + 0.5 + 1.5 + 1.5 + 2.5 = 27.5/15 = 1.8

    (part B)

    Mean: - 3 + - 2 + - 1 + 0 + 1 + 2 + 3 = 0/7 = 0

    0 - (-3) = 3

    0 - (-2) = 2

    0 - (-1) = 1

    0 - 0 = 0

    0 - 1 = 1

    0 - 2 = 2

    0 - 3 = 3

    mean absolute deviation: 3 + 2 + 1 + 0 + 1 + 2 + 3 = 12/7 = 1.7
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