Kurtosis Formula For Ungrouped Data. N is the total number of observations. Let x 1 x 2 x n be n observations.
I th variable of the distribution. Moment coefficient of kurtosis for ungrouped data let x 1 x 2 x n be n observations. If r is a range in excel containing the data elements in s then kurt r the kurtosis of s.
Sample kurtosis definitions a natural but biased estimator.
For a sample of n values a method of moments estimator of the population excess kurtosis can be defined as where m 4 is the fourth sample moment about the mean m 2 is the second sample moment about the mean that is the sample variance x i is the i th value and is the sample mean. For a sample of n values a method of moments estimator of the population excess kurtosis can be defined as where m 4 is the fourth sample moment about the mean m 2 is the second sample moment about the mean that is the sample variance x i is the i th value and is the sample mean. 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. If r is a range in excel containing the data elements in s then kurt r the kurtosis of s.
