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If x ¯ is the mean of n observations x 1 , x 2 , … , x n then the mean of the absolute deviations of these observations from x ¯ is

Options

  1. Athe variance of the data
  2. Bthe mean proportion of the data
  3. Cthe standard deviation of the data
  4. Dthe mean deviation of the data

Correct answer

D. the mean deviation of the data

Step-by-step solution

If x ¯ is the mean of n observations x 1 , x 2 , … , x n then the mean of the absolute deviations of these observations from x ¯ is the mean deviation of the data. Here, x ¯ = x 1 + x 2 + . . . + x n n         . . . . 1 Mean deviation = x 1 - x ¯ + x 2 - x ¯ + . . . + x n - x ¯ n

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