The empirical relationship between the three measures of central tendency is 2 mean = 3 median – mode.
An empirical relationship exists between mean mode and median.
The relationship between the three central tendencies is given as;
Mean – mode = 3(mean – median)
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.