For a moderately skewed distribution, the empirical relation is Mode = 3 Median − 2 Mean. If the mean is 20 and the median is 22, what is the estimated mode?
Correct answer: B. 26
- A. 24
- B. 26
- C. 28
- D. 30
Explanation
Substituting the values gives Mode = 3(22) − 2(20) = 66 − 40 = 26. This is an empirical approximation used for moderately skewed distributions, not a universal identity.
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About Measures of Central Tendency and Dispersion
Central tendency includes mean, weighted mean, median and mode for raw and grouped data. Dispersion covers range, quartiles, interquartile range, variance, standard deviation and coefficient of variation, including the effect of changes in scale and the distinction between a representative centre and the spread around it.
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