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CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion

The daily number of orders received by a Jaipur shop on five days were 6, 10, 14, 18 and 22. What is the mean deviation about the arithmetic mean?

The mean deviation about the mean is 4.8. The mean is 14, the absolute deviations sum to 24, and dividing by 5 observations gives 4.8. Signed deviations would sum to zero, so absolute values must be used.

  1. A4.8Correct
  2. B24
  3. C6.0
  4. D0

Explanation

Mean = 70/5 = 14. Absolute deviations are 8, 4, 0, 4, 8, which sum to 24. Mean deviation = 24/5 = 4.8. The value 0 comes from adding signed deviations, which always cancel about the mean.

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