CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
For a moderately skewed distribution, the arithmetic mean is 42 and the median is 40. Using the empirical relationship, the approximate mode is:
The approximate mode is 36. For a moderately skewed distribution, the empirical relationship says mode equals three times the median minus two times the mean. Substituting gives 3 × 40 − 2 × 42 = 120 − 84 = 36.
- A36Correct
- B46
- C38
- D40
Explanation
The empirical relation is Mode = 3 Median − 2 Mean. So Mode = 3(40) − 2(42) = 120 − 84 = 36. The value 46 results from swapping the roles of mean and median in the formula.
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