Question

For any moderately skewed uni-modal frequency curve, the following is a valid empirical relationship:

• A. Mode $-$ Mean = 3(Mean $-$ Median)
• B. Median $-$ Mode = 3(Median $-$ Mean)
• C. Mean $-$ Mode = 3(Mean $-$ Median)
• D. Mean $-$ Median = 3(Median $-$ Mode)

Hint:

Remember the empirical formula: Mean $-$ Mode = 3(Mean $-$ Median) for moderately skewed distributions.

Answer 1

The Correct Option is C

For a moderately skewed distribution, the empirical relationship between the mean, median, and mode is given by: \[ \text{Mean} - \text{Mode} = 3(\text{Mean} - \text{Median}) \] This relationship is derived empirically and helps describe the skewness of a distribution. It assumes a single peak (uni-modal) and moderate skewness.