Question

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

Answer 1

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

A) (mode = 3 mean –b2 median)

B) (mode = 2 median –b3 mean)

C) (mode = 3 medianb–b2 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.) (Ans.)

Hence The relationship between the three measures of central tendenc is (Mode = 3Median - 2Mean.). .

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