The standard deviation of a distribution is 5. The value of the fourth central moment, in order that the distribution be mesokurtic, should be:

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. equal to 3
  2. greater than 1875
  3. equal to 1875
  4. less than 1875

Answer (Detailed Solution Below)

Option 3 : equal to 1875
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Detailed Solution

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Given

Standard deviation σ = 5

Concept 

For mesokurtic β2 = 3

Calculation

β2 = μ422

⇒ μ44 = 3   ( μ2 = variance = σ2)

⇒ μ4/54 = 3

⇒ μ4 = 625 × 3

∴ The value of fourth moment is 1875

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