CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
For a distribution, the mean is 60 and the variance is 144. What is the coefficient of variation?
The coefficient of variation is 20%. The standard deviation is the square root of the variance, √144 = 12, and dividing by the mean 60 and multiplying by 100 gives 20%.
- A240%
- B20%Correct
- C12%
- D24%
Explanation
SD = √144 = 12. CV = 12/60 × 100 = 20%. Using 144 directly as the SD would give 240%, which is the mistake of not taking the square root.
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