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Empirical Relationship of the three measures of central tendency

If the mode o...

Question

If the mode of a series exceeds its mean by 24, then mode exceeds median by:

A

4

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B

8

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C

16

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D

12

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Solution

The correct option is C 16
Mode = Mean +24
We know that, Mode = 3 Median - 2 Mean
$\Rightarrow$ Mode = 3 Median - 2 (Mode -24)
$\Rightarrow$ Mode = 3 Median - 2 Mode+48
$\Rightarrow$ 3 Mode - 3 Median = 48
$∴$ Mode - Median = 16.

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Q. If the mode of a series exceeds its mean by 24, then mode exceeds median by:

Let say if the mode of a series exceeds its mean by 24, then the mode exceeds median by:

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Empirical Relationship of the three measures of central tendency

Standard X Mathematics

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