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Frequency Distributions

Which of the ...

Question

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

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Solution

The relation between Mean, Median and Mode is Mode − Mean = 3(Median − Mean).
Hence, the correct option is (d).

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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. One of the methods of determining mode is

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

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