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Median from Frequency Distribution Table

The relations...

Question

The relationship between mean, median and mode for a moderately skewed distribution is

A

Mode =2 Median - 3 Mean

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B

Mode = Median + 2 Mean

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C

Mode =3 Median - Mean

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D

Mode =3 Median - 2 Mean

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Solution

The correct option is C
Mode =3 Median - 2 Mean

It is well known fact that for moderately skewed distribution,
Mode $= 3 \times$ Median $- 2 \times$ Mean

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Similar questions

Q. The relationship between mean, median and mode for a moderately skewed distribution is

(a) Mode = 2 Median − 3 Mean
(b) Mode = Median − 2 Mean
(c) Mode = 2 Median − Mean
(d) Mode = 3 Median −2 Mean

Q. Assertion :If in a moderately skewed distribution the value of mode & mean are

4 λ & 7 λ

respectively, then value of median is

5 λ

. Reason: For a moderately skewed distribution
Mode

=

-

Q. For a frequency distribution, mean, median and mode are connected by the relation

(a) Mode = 3 Mean − 2 Median
(b) Mode = 2 Median − 3 Mean
(c) Mode = 3 Median − 2 Mean
(d) Mode = 3 Median + 2 Mean

Q. Which of the following is not a relationship between mean, median and mode for a moderately skewed distribution

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

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

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

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