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Direct Method of Finding Mean

For a frequen...

Question

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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Solution

The relation between mean, median and mode is

Mode = 3 Median − 2 Mean

Hence, the correct option is (c).

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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. 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. 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. One of the methods of determining mode is

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

For a symmetrical frequency distribution ,we have

(a) mean<mode<median (b) mean>mode>median

(c) mean = mode = median (d) mode= $\frac{1}{2} (m o d e + m e d i a n)$

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