Question

For a frequency distribution, mean, median and mode are connected by which of the following relations?

• A. Mode $=3$ Mean $-2$ Median
• B. Mode $=2$ Median $-3$ Mean
• C. Mode $=3$ Median $-2$ Mean
• D. Mode $=3$ Median $+2$ Mean

Answer 1

The correct option is C Mode $=3$ Median $-2$ Mean

Mode $=$ $3$ Median $-$ $2$ Mean is an empirical formula which holds true when the distribution is uniform.

This is an approximate relation that holds when the distribution is symmetrical or moderately skewed. It does not hold when the distribution is too skewed. When the distribution is symmetric, this relation holds exactly because in that case, mean=median=mode.

The figures show how this relation works.