Question

Which relation among three measures of central tendency, mean, median and mode is correct?​

Answer 1

Question :- Which relation among three measures of central tendency, mean, median and mode is correct ?

a) mode = 3 mean - 2median

b) mode = 2 median - 3 mean

c) mode = 3 median - 2 mean

d) mode = 3 median + 2 mean .

Solution :-

Case 1) When we have a symmetrical distribution for continuous data :-

• Mean = Median = Mode .

Case 2) When the frequencies are not properly distributed it is called as an asymmetrical distribution.

Than,

The relationship between the three measures of central tendency :-

• 2Mean = 3Median - Mode.

which is Equal to ,

→ 2Mean = 3Median - Mode

→ Mode = 3Median - 2Mean. (Option C.)

Hence, The relationship between the three measures of central tendency is Mode = 3Median - 2Mean.