For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find the mean of this distribution using an empirical relation.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1375
For a moderately skewed distribution, the three averages are linked by the empirical relation Mode \(=3\,\)Median \(-\;2\,\)Mean, so any one of them can be found from the other two.
Putting in the mode 1000 and the median 1250: \(1000=3\times1250-2\times\text{Mean}\)
Twice the mean: \(2\times\text{Mean}=3750-1000=2750\)
So the mean is \(1375\)