How to find Bowley's Coefficient of Skewness?

Question:

Find Bowley's Coefficient of Skewness when Lower Quartile for a distribution is 15, Upper Quartile for a distribution is 21 and Median is 17.


Solution:

Step 1: Note the given data.

Q₁ = 15

Q₂ = 17

Q₃ = 21


Step 2: Find Bowley's Coefficient of Skewness

Bowley's Coefficient of Skewness = [Q₃ + Q₁ - 2Q₂] / [Q₃ - Q₁]

∴ Bowley's Coefficient of Skewness = [21 + 15 - 2 (17)] / [21 - 15]

∴ Bowley's Coefficient of Skewness = [36 - 34] / [6]

∴ Bowley's Coefficient of Skewness = [2] / [6]

∴ Bowley's Coefficient of Skewness = 1/3

∴ Bowley's Coefficient of Skewness = 0.33


Answer:

Bowley's Coefficient of Skewness is 0.33 when Lower Quartile for a distribution is 15, Upper Quartile for a distribution is 21 and Median is 17.


Video Solution:



How to find Bowley's Coefficient of Skewness with Solved Example on Skewness and Kurtosis