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Question
For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation.
Solution
There is an empirical relationship between the three measures of central tendency:
3median = mode + 2Mean
`⟹Mean=(3Median−Mode)/2`
`=(3(1250)−1000)/2`
=1375
Thus, the mean is 1375.
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