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In descriptive statistics , summary statistics are used to summarize a set of observations, in order to communicate as much as possible as simply as possible. Statisticians commonly try to describe the observations in

a measure of location, or central tendency , such as the arithmetic mean , median , mode , or interquartile mean
a measure of statistical dispersion like the standard deviation , variance , range , or interquartile range , or absolute deviation .
a measure of the shape of the distribution like skewness or kurtosis
The Gini coefficient was originally developed to measure income inequality, but can be used for other purposes as well.

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