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Question

If the difference between mean and mode is 63, then the difference between mean and median is

A
189
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B
21
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C
31
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D
48
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Solution

The correct option is B 21
Given : MeanMode=± 63
Using,
Mode=3 Median2 Mean
-Mode=2Mean3Median
Now adding Mean to both sides,
MeanMode=3 (Mean - Median)
Now, MeanMode=±63 (Given)
Mean - Median=±633=±21
difference between mean and median is 21

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