If μ4, = 199, μ3 = 50 and μ2 = 8, then the value of excess kurtosis is:

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SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. 1.109
  2. 0.109
  3. 3.109
  4. 2.109

Answer (Detailed Solution Below)

Option 2 : 0.109
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Detailed Solution

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Given

μ4 = 199

μ3 = 50

μ2 = 8

Formula

Kurtosis a4= μ4/(μ2)2

Excess kurtosis = a4 – 3

Calculation

a4 = 199/(8)2

⇒ 199/64

⇒ 3.109

⇒ Excess kurtosis is denoted by g2

⇒ g2 = a4 – 3

⇒ 3.109 – 3

Excess kurtosis is 0.109

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