CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
For a moderately skewed distribution of daily sales, the mode is 30 and the arithmetic mean is 36. Using the empirical relationship among mean, median and mode, the median is approximately:
The median is about 34. From Mode = 3 Median − 2 Mean, substituting mode 30 and mean 36 gives 3 Median = 30 + 72 = 102, so the median is 34. The median lies between mode and mean.
- A32
- B33
- C34Correct
- D36
Explanation
The empirical relation is Mode = 3 Median − 2 Mean. So 30 = 3 Median − 72, giving 3 Median = 102 and Median = 34. Taking 33, the simple average of mode and mean, is wrong because the relation is not a plain average.
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