Table 1. Summary of basic properties of empirical distributions that are interesting for data mining.

Interesting basic Properties	Exemplary data mining applications	Statistical test used	Descriptive Statistic
Uniformity versus multimodality	Biomedical data [22], Water vapor [23]	Hartigan’s dip test [12]	Difference between mean and median can indicate multimodality, several coefficients [23]
Data clipping versus heavy-tailedness	Flood data [24], Upper Income [25]	Not required here, but we can refer to [24, 26]	Range of data is sufficient for the task. “There is no easy characteristic for heavy-tailedness” [27]
Skewness versus normality	Biomedical data [28], Strength of Glass Fibers & Market Value Growth [29]	D'Agostino test [14]	Third order statistics, for example [28]