The second and fourth moment about mean for a distribution are 4 and 18 respectively. What is the value of Pearson's coefficient of skewness β z?
1.125
The question labels the coefficient as skewness but the only computable quantity from the given moments \(\mu_2\) and \(\mu_4\) is the Pearson kurtosis coefficient:
\[\beta_2 = \frac{\mu_4}{\mu_2^{2}} = \frac{18}{4^{2}} = \frac{18}{16} = \frac{9}{8} = 1.125\]
Hence the value is 1.125.
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Important Questions from Central Moments
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