Question

What is emprical relationship between mean, median and mode ?
A. Mean - mode = 3(Mean - Median)
B. Mode = Mean - Median
C. Mode = 3 Median - 2 Mean
D. Median - Mode = 3 (Mean - Median)
E. Mode = 2 Mean + 3 Median
Choose the correct answer from the options given below

• A. C only
• B. Both A and C only
• C. Both A and B only
• D. Both D and E only

Answer 1

The Correct Option is B

The empirical relationship between mean, median, and mode is most commonly expressed in two well-known formulas: the first is:

A. Mean - Mode = 3(Mean - Median)

And the second often-used formula is:

C. Mode = 3 Median - 2 Mean

Let's verify if these are correct within the provided options:

1. Option A states Mean - Mode = 3(Mean - Median), which is a recognized empirical relationship.
2. Option C states Mode = 3 Median - 2 Mean, which is also a recognized empirical formula.

Thus, the answer is the option that includes both A and C, which is:
Both A and C only