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

For a moderately asymmetrical distribution, the mode is 24 and the arithmetic mean is 30. Using the empirical relationship between mean, median and mode, the median is approximately:

The median is approximately 28. Using the empirical relation Mode = 3 Median − 2 Mean, we get 24 = 3 Median − 60, so 3 Median = 84 and Median = 28 for a moderately skewed distribution.

  1. A26
  2. B27
  3. C28Correct
  4. D29

Explanation

The empirical relation is Mode = 3 Median − 2 Mean. So 24 = 3 Median − 60, giving 3 Median = 84 and Median = 28. Option 27 is the simple average of mode and mean, which is not the relation used.

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