Multiple choice

What is the coefficient of mean deviation of 21, 34, 23, 39, 26, 37, 40, 20, 33, 27 (taken from mean)?

  1. 0.11

  2. 0.22

  3. 0.33

  4. 0.44
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B Correct answer
Explanation

Mean = (21+34+23+39+26+37+40+20+33+27) / 10 = 300 / 10 = 30. Deviations: 9, 4, 7, 9, 4, 7, 10, 10, 3, 3. Sum of deviations = 66. Mean deviation = 66 / 10 = 6.6. Coefficient of mean deviation = 6.6 / 30 = 0.22.

AI explanation

The sum of the observations is 300, making the mean equal to 300 divided by 10, which is 30. The absolute deviations from the mean are 9, 4, 7, 9, 4, 7, 10, 10, 3, 3, and their sum is 66. The mean deviation is 66 divided by 10, or 6.6, so the coefficient of mean deviation is 6.6 divided by 30, which equals 0.22.

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