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Question
For a distribution Q3 – Q2 = 40, Q2 – Q1 = 60. Find Bowley’s coefficient of skewness Skb.
Solution
Given, Q3 – Q2 = 40, Q2 – Q1 = 60
Skb = `("Q"_3 + "Q"_1 - 2"Q"_2)/("Q"_3 - "Q"_1)`
= `("Q"_3 - "Q"_2 - "Q"_2 + "Q"_1)/("Q"_3 - "Q"_2 + "Q"_2 - "Q"_1)`
= `(("Q"_3 - "Q"_2) - ("Q"_2 - "Q"_1))/(("Q"_3 - "Q"_2) + ("Q"_2 - "Q"_1)`
= `(40 - 60)/(40 + 60)`
= `-20/100`
= `-1/5`
∴ Skb = – 0.2
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