How to find Karl Pearson's Coefficient of Skewness?

Question:

Find Karl Pearson's Coefficient of Skewness when Variance = 900, Median = 75 and Mean = 60.


Solution:

Step 1: Find Standard deviation from Variance

Standard Deviation = √Variance

∴ Standard Deviation = √900

∴ Standard Deviation = 30


Step 2: Find Karl Pearson's Coefficient of Skeweness

Sₖₚ = 3 x [Mean - Median] / Standard Deviation

∴ Sₖₚ = 3 x [60 - 75] / 30

∴ Sₖₚ = 3 x [-15] / 30

∴ Sₖₚ = -15 / 10

∴ Sₖₚ = -1.5


Answer:

Karl Pearson's Coefficient of Skewness when Variance = 900, Median = 75 and Mean = 60 is -1.5 .


Video Solution:



How to find Karl Pearson's Coefficient of Skewness a solved example on Skewness and Kurtosis