Question

Empirical relationship between the three measures of central tendency is
(a) 2 Mean = 3 Median – Mode (b) 2 Mode = 3 Median – Mean
(c) Mode = 2 Mean – 3 Median (d) 3 Median = 2 Mode + Mean

Answer 1

Answer:

option d is correct....

Answer 2

The empirical relationship between the three measures of central tendency is 2 mean = 3 median – mode

SOLUTION:

An empirical relationship exists between mean mode and median.  

The relationship between the three central tendencies is given as;

Mean – mode = 3(mean – median)

On solving the equation we get  

Mean – mode = 3 mean – 3 median

On rearranging we get;

3 mean – mean = 3 median – mode

On simplifying we have

2 mean = 3 median – mode.

Hence the empirical relationship between the three measures of central tendency is 2 mean=3 median – mode. Hence Option A is correct