Multiple choice

The mean deviation about the mean of the following data is? $x_i$ 3 9 17 23 27 $f_i$ 8 10 12 9 5

  1. $5.68$
  2. $7.09$
  3. $8.69$
  4. $8.98$
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A Correct answer
AI explanation

To find the mean deviation about the mean, first calculate the total frequency, which is 8 plus 10 plus 12 plus 9 plus 5, equaling 44. Next, find the mean by dividing the sum of frequency multiplied by observations (24 plus 90 plus 204 plus 207 plus 135, totaling 660) by 44, which equals 15. The sum of the absolute deviations multiplied by their respective frequencies is 96 plus 60 plus 24 plus 72 plus 60, totaling 312. The mean deviation is 312 divided by 55, which equals 5.672, matching 5.68.

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