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Question

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.


A

5

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B

4

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C

6

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D

9

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Solution

The correct option is D

9


Mode - Median = 18 (Given) ....(i)
Mode = 3 Median - 2 Mean .....(ii)
Eliminating mode from (i) and (ii), we get
18 + Median = 3 Median - 2 Mean
18 = 2 Median - 2 Mean
Median - Mean = 9
Difference between Mean and Median is 9.


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