Sample Kurtosis Formula. Standard deviation of all samples k. Therefore sample kurtosis equals.
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The greater the value of beta 2 the more peaked or leptokurtic the curve. S 2 sample variance. μ4 x ˉx 4 n.
Standard deviation of all samples k.
Skr 1 n n i 1 xi x 4 s4 s k r 1 n i 1 n x i x 4 s 4. Mean of samples x i the ith sample n. Note that in computing the kurtosis the standard deviation is computed using n in the denominator rather than n 1. Sample kurtosis definitions a natural but biased estimator.
