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.
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