How to find Pearson's Coefficient of Skewness for a distribution?

Question:

Find Pearson's Coefficient of Skewness (Sₖₚ) for a distribution when Mean = 160; Mode = 157 and Standard Deviation = 50.


Solution:

Step 1: Find Karl Pearson's Coefficient of Skeweness

Sₖₚ = [Mean - Mode] / Standard Deviation

∴ Sₖₚ = [160 - 157] / 50

∴ Sₖₚ = 3 / 50

∴ Sₖₚ = 0.06


Answer:

Pearson's Coefficient of Skewness (Sₖₚ) for a distribution is 0.06 when Mean = 160; Mode = 157 and Standard Deviation = 50.


Video Solution:



How to find Pearson's Coefficient of Skewness for a distribution using a solved example from Skewness and Kurtosis