Which of the following represents an empirical relationship between Median, Mode and Mean?

3 Mode= Median + 2 Mean

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Mode =3 Median - 2 Mean

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3 Mean= Median + 2 Mode

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Solution

The correct options are
B
Mode =3 Median - 2 Mean

C
3 Mean= Median + 2 Mode

The empirical relationship between Median, Mode and Mean

$3 M e d i a n = 2 M e a n + M o d e$ it can be written as

$M o d e = 3 M e d i a n - 2 M e a n$

$M o d e + 2 M e a n = 3 M e d i a n$ by multiplying with $3$ on both sides.

$3 M o d e + 6 M e a n = 9 M e d i a n$

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Similar questions

The relation between mean,mode and median is

(a) $m o d e = (3 \times m e a n) - (2 \times m e d i a n)$

(b) $m o d e = (3 \times m e d i a n) - (2 \times m e a n)$

(d) $m e a n = (3 \times m e d i a n) - (2 \times m o d e)$

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