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Question

If the mode of a series exceeds its mean by 12, then mode exceeds median by:

A
12
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B
8
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C
36
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D
24
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Solution

The correct option is B 8
We are given,
Mode = Mean + 12
Mean = Mode - 12

We know that,
Mode = 3 Median - 2 Mean
Mode = 3 Median - 2 (Mode - 12)
Mode = 3 Median - 2 Mode + 24
3 Mode - 3 Median = 24
Mode - Median = 8

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