Question
Download Solution PDFIf the first, fifth and ninth decile of frequency distribution xi|fi are 3, 10, 16, respectively, then Kelly's coefficient of skewness is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe calculation for Kelly's coefficient of skewness can be performed as follows:
\(D_9 = 16 (9th decile)\\ D_5 = 10 (5th decile)\\ D_1 = 3 (1st decile)\\ SK_k = \frac{(D_9 - 2D_5 +D_1)}{(D_9 - D1)}\\ SK_k = \frac{(16 - 2 * 10 + 3)}{(16 - 3)}\\ SK_k = \frac{(-1)}{13} \)
Thus, the correct answer is \(\frac{-1}{3}\)
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