The range is a value describing the total spread of the data. SampleRange gives the difference between the largest and smallest value in data, while InterquartileRange gives the difference between the 0.75 and the 0.25 quartiles. This gives an unbiased estimate for the variance of the data with n-1 as the divisor. We can check the relationship between the two estimators. You can get some information about the shape of a distribution using shape statistics.
Skewness is calculated by dividing the third central moment by the cube of the standard deviation.
Pearson's two coefficients provide two other well-known measures of skewness. PearsonSkewness1 and PearsonSkewness2 are found by multiplying three times the difference between the mean and either the mode or the median, respectively, and dividing this quantity by the standard deviation of the sample. Quartile skewness gives a measure of asymmetry within the first and third quartiles. To find the kurtosis, you divide the fourth central moment by the square of the variance of the data. Here is the second central moment, which is the same as the maximum likelihood estimate of variance.