# 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.