Question

The first four moments of a distribution about the value 5 are 2, 20, 40 & 50.Fourth moment about the mean is​

Answer 1

Answer:

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Answer 2

Given :- The first four moments of a distribution about the value 5 are 2, 20, 40 & 50. Fourth moment about the mean is ?

Answer :-

we have given that,

• u₁ = 2
• u₂ = 20
• u₃ = 40
• u₄ = 50 .

so,

→ Fourth moment about the mean = u₄ - 4 * u₁ * u₃ + 6 * u₂ * (u₁)² - 3 * (u₁)⁴

putting values we get,

→ Fourth moment about the mean = 50 - 4 * 2 * 40 + 6 * 20 * (2)² - 3 * (2)⁴

→ Fourth moment about the mean = 50 - 320 + 480 - 48

→ Fourth moment about the mean = 530 - 368

→ Fourth moment about the mean = 162 (Ans.)

Learn more :-

The first four moments of a distribution about the value 4 of a variable are -1.5,17,-30 and 108 . Find the moment about...

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