If variance is used then reduced chi-squared and equivalent normal Z values are calculated, and the mean is a weighted one.
STATISTIX can be made to find the kurtosis and skewness in the dataset by specifying the SIMPLE keyword false.
By using the LOOP parameter, values deviating from the current mean by more than n sigma, may be ignored, with the statistics being recalculated for the reduced sample. The ignored values may be displayed at the terminal by using the DISP keyword.
When used with a binned dataset VARIANCE and QUALITY are used by default if possible. This may be prevented by use of the WEIGHT and QUALITY keywords.
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