Question

Which relation among three measures of central tendency, mean, median and mode is correct?
a) (mode = 3 mean –2 median)
b) (mode = 2 median –3 mean)
c) (mode = 3 median–2 mean)
d) (mode = 3 median +2 mean) ​

Answer 1

Given :  Relation among three measures of central tendency, mean, median, and mode

To Find :  which one is correct

a) (mode = 3 mean –2 median)

b) (mode = 2 median –3 mean)

c) (mode = 3 median–2 mean)

d) (mode = 3 median +2 mean) ​

Solution:

if distribution is Normal  then Mean = Median = Mode

When the frequencies are not properly distributed it is called as an asymmetrical / skewed distribution.

If it is moderately asymmetrical distribution

the below mentioned empirical relationship holds good

Mode = 3 median - 2 mean

it was  given by Karl Pearson

option c is correct

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Answer 2

Answer:

Thus, the empirical relationship between the three measures of central tendency is 2 Mean = 3 Median – Mode. Hence, option (a) is the correct answer.