Discussion
The empirical relationship between mean, median and mode can be expressed as follows :
Answer: A
The relationship is Mode = 3 Median - 2 Mean.
For moderately skewed distributions, Karl Pearson observed that the median lies about one-third of the way from the mean to the mode, which gives the empirical formula:
\[ \text{Mode} = 3\,\text{Median} - 2\,\text{Mean} \]
A check: in a symmetric distribution all three are equal, and \(3m - 2m = m\). The other combinations fail that check (for example \(2m - 3m = -m\)).
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