Maharashtra State BoardHSC Commerce 11th
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For a distribution Q3 – Q2 = 40, Q2 – Q1 = 60. Find Bowley’s coefficient of skewness Skb. - Mathematics and Statistics

Sum

For a distribution Q3 – Q2 = 40, Q2 – Q1 = 60. Find Bowley’s coefficient of skewness Skb.

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Solution

Given, Q3 – Q2 = 40, Q2 – Q1 = 60

Sk = `("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`

∴ Sk = – 0.2

Concept: Measures of Skewness - Bowley’s Coefficient of Skewness
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