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For a distribution, the percentile partition values are P10 = 58.983, P50 = 61.345 and P90 = 63.831. Kelly's coefficient of skewness is:

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SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. 0.036
  2. 0.026
  3. 0.016
  4. 0.046

Answer (Detailed Solution Below)

Option 2 : 0.026
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Detailed Solution

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Explanation

Kelly’s skewness denoted by Sk

Sk = P90 + P10 – 2P50

P90, P10, P50 are percentile partition

Calculation

Sk = 63.831 + 58.983 + 2 × 61.345

⇒ 122.814 – 122.69

⇒ 0.124

Kelly’s coefficient of skewness denoted by Sp

SP = (P90 + P10 – 2P50)/P90 – P10

⇒ 0.124/4.848

∴ Kelly’s coefficient of skewness is 0.026

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