13.2 Mean Deviation (M.D.)

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  1. Calculate Mean (xˉ\bar{x}): xˉ=6+7+10+12+13+4+8+128=728=9\bar{x} = \frac{6+7+10+12+13+4+8+12}{8} = \frac{72}{8} = 9

  2. Calculate Absolute Deviations xi9|x_i - 9|:

    • 69=3|6-9| = 3
    • 79=2|7-9| = 2
    • 109=1|10-9| = 1
    • 129=3|12-9| = 3
    • 139=4|13-9| = 4
    • 49=5|4-9| = 5
    • 89=1|8-9| = 1
    • 129=3|12-9| = 3
  3. Sum of Deviations: 3+2+1+3+4+5+1+3=223+2+1+3+4+5+1+3 = 22.

  4. Calculate M.D.: M.D.(xˉ)=228=2.75M.D.(\bar{x}) = \frac{22}{8} = 2.75

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