Multiple choice

A batsman scores runs in 10 innings as $38,70,48,34,42,55,63,46,54,44$. The mean deviation about mean is :

  1. $8.6$
  2. $6.4$
  3. $10.6$
  4. $7.6$
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A Correct answer
AI explanation

First, find the arithmetic mean of the runs by summing them (38 plus 70 plus 48 plus 34 plus 42 plus 55 plus 63 plus 46 plus 54 plus 44) to get 494, and then dividing by 10 to get 49.4. The mean deviation about the mean is calculated by taking the average of the absolute deviations from the mean. Summing the absolute values of the differences between each run and 49.4 gives 86, and dividing this sum by 10 yields a mean deviation of 8.6.

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