The second moment about mean of symmetrical distribution is 3.5. What must be the value of fourth moment about mean in order distribution will be lepto kurtic?
Answer: 36.75
Explanation
For a leptokurtic distribution, β₂ > 3:
β₂ = μ₄ / μ₂² > 3
Given μ₂ = 3.5:
μ₄ / (3.5)² > 3
μ₄ > 3 × 12.25
μ₄ > 36.75
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