Question

Which of the following represents an empirical relationship between Median, Mode and Mean?

• A. 3 Mode= Median + 2 Mean
• B. Mode =3 Median - 2 Mean
• C. 3 Mean= Median + 2 Mode
• D. can't say.

Answer 1

Answer: (B), (C)

The correct options are
B

Mode =3 Median - 2 Mean

C

3 Mean= Median + 2 Mode

The empirical relationship between Median, Mode and Mean is Mode = 3 Median - 2 Mean.

If we rearrange the same equation and multiply the same with 3 on both sides, we get,

6 Mean + 3 Mode = 9 Median