CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
For a moderately positively skewed unimodal distribution, which of the following relations among the three averages holds?
In a positively skewed distribution the mean is greater than the median, which is greater than the mode. The long right tail of large values pulls the mean up most, the median moderately, and leaves the mode at the peak.
- AMean > Median > ModeCorrect
- BMode > Median > Mean
- CMedian > Mean > Mode
- DMean = Median = Mode
Explanation
In a positively skewed distribution the long tail lies to the right. Extreme large values pull the mean up the most, the median less, and the mode least. So Mean > Median > Mode. The reverse order, Mode > Median > Mean, describes negative skewness.
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