Kurtosis Formula For Ungrouped Data. S sample standard deviation. X i is the ith sample.
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Moment coefficient of kurtosis for ungrouped data. N is the total number of observations. For a very large sample very high n the differences between and among n 1 n n 1 n 2 and n 3 are becoming negligible and the sample kurtosis formula approximately equals.
X 1 n i 1 n x i.
X 1 n i 1 n x i. The third formula below can be found in sheskin 2000 and is used by spss and sas proc means when specifying the option vardef df or by default if the vardef option is omitted. I th variable of the distribution. The formula for kurtosis is expressed as the ratio of the fourth moment and variance s 2 squared or squared the second moment of the distribution.
