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If mode of a series exceeds its mean by ...

If mode of a series exceeds its mean by 12, then mode exceeds the median by (a) 4 (b) 8 (c) 6 (d) 10

A

4

B

8

C

6

D

10

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
Mode - Mean = 12
`therefore ` Mode = 3 Median - 2 Mean
`rArr ` Mode - Mean = 3(Median - Mean)
`rArr` 12 = 3(Median - Mean)
`rArr ` Median - Mean = 4
Again, Mode = 3 Median - 2 Mean
`rArr` Mode - Median = 2( Median - Mean) = 2 `xx `4=8
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