Multiple choice

Find the mean deviation about the mean as well as the coefficient of Mean Deviation about mean of the following set data:$ 4, 7, 14, 11, 9$.

  1. $2.8$ and $0.311$
  2. $2.1$ and $0.211$
  3. $24.8$ and $0.411$
  4. $21.3$ and$0.566$
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A Correct answer
Explanation

Mean = (4+7+14+11+9)/5 = 45/5 = 9. Deviations: |4-9|=5, |7-9|=2, |14-9|=5, |11-9|=2, |9-9|=0. Mean deviation = (5+2+5+2+0)/5 = 14/5 = 2.8. Coefficient = 2.8/9 = 0.311.

AI explanation

The mean of the values is 4 plus 7 plus 14 plus 11 plus 9 divided by 5, which equals 9. The mean deviation is the sum of absolute differences from the mean divided by 5: 5 plus 2 plus 5 plus 2 plus 0 divided by 5 equals 2.8. The coefficient of mean deviation is 2.8 divided by 9, which is approximately 0.311.

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