Find difference between mean and median. If the difference between mode and median of a data is 18, use the relation $M o d e = 3 M e d i a n - 2 M e a n$ .

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Solution

The correct option is D 9
$M o d e - M e d i a n = 18$ $(G i v e n)$ ....(i)
$M o d e = 3 M e d i a n - 2 M e a n$ .....(ii)
Eliminating mode from $(i)$ and $(i i)$ , we get
$\Rightarrow 18 + M e d i a n = 3 M e d i a n - 2 M e a n$
$\Rightarrow 18 = 2 M e d i a n - 2 M e a n$
$\Rightarrow M e d i a n - M e a n = 9$
Difference between Mean and Median is $9$ .

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M o d e = 3 M e d i a n - 2 M e a n

Find difference between mean and median. If the difference between mode and median of a data is 18, use the relation
Mode = 3 Median - 2 Mean.

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