For a frequency distribution, the first three raw moments about x = 0 given that mu_1' = 1, mu_2' = 16, mu_3' = -40 are about a=2. The second raw moment about x=0 is:

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CSS Statistics QUESTION #1976

Question 1

For a frequency distribution, the first three raw moments about \(x = 0\) given that \(\mu_1' = 1\), \(\mu_2' = 16\), \(\mu_3' = -40\) are about \(a=2\). The second raw moment about \(x=0\) is:

\(15\)
\(16\)
\(24\)✔️
\(18\)

Correct Answer Explanation

Second raw moment about zero: \(\nu_2 = \mu_2' + a^2 + 2a\mu_1' = 16 + 4 + 2(2)(1) = 24\). Alternatively using \(\nu_2 = \mu_2 + \bar{x}^2 = 15 + 9 = 24\), confirming the answer.

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