Question
Download Solution PDFThe standard deviation of a distribution is 5. The value of the fourth central moment, in order that the distribution be mesokurtic, should be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Standard deviation σ = 5
Concept
For mesokurtic β2 = 3
Calculation
β2 = μ4/μ22
⇒ μ4/σ4 = 3 ( μ2 = variance = σ2)
⇒ μ4/54 = 3
⇒ μ4 = 625 × 3
∴ The value of fourth moment is 1875
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