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If the difference of mode and median ...

If the difference of mode and median of a data is 24, then find the difference of medina and mean.

Text Solution

Verified by Experts

Given:
Mode `= 3 Median - 2 Mean`
`⇒ Mode = 2 Median + Median - 2 Mean`
`⇒ Mode - Median = 2 Median - 2 Mean`
`⇒ Mode - Median = 2 (Median - Mean)`
Difference of mode and median of a data is 24 `=> 24 = 2 (Median - Mean)`
`⇒ Median - Mean = 12`
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