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Best suited measure of central tendency in different cases and the Empirical relationship between them

The relations...

Question

The relationship between Mean, Median and Mode is

A

Median = Mean + Mode

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B

Mode = 3 median - 2 mean

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C

Mode = 2 median - 3 mean

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D

3Mode = 2 median - 3 mean

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Solution

The correct option is B
Mode = 3 median - 2 mean

The empirical relationship between Mean, Median and Mode is:

Mode = 3 median - 2 mean

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Similar questions

Q. The empirical relation between mean, mode and median is

(a) Mode = 3 Median − 2 Mean

(b) Mode = 2 Median − 3 Mean

(c) Median = 3 Mode − 2 Mean

(d) Mean = 3 Median − 2 Mode

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. The relation between mean, mode and median is
(a) mode = (3 × mean) − (2 × median)
(b) mode = (3 × median) − (2 × mean)
(c) mode = (3 × mean) − (2 × mode)
(d) mode = (3 × median) − (2 × mode)

Q. Which of the following is correct?

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

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

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Best suited measure of central tendency in different cases and the Empirical relationship between them

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