Freedman-Diaconis rule

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Freedman-Diaconis rule

In statistics

Statistics

Statistics is a Mathematics pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It also provides tools for prediction and forecasting based on data....
, the Freedman-Diaconis rule can be used to select the size of the bins to be used in a histogram

Histogram

In statistics, a histogram is a graphical display of tabulated frequency , shown as bars. It shows what proportion of cases fall into each of several Categorization....
. The general equation for the rule is:

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In statistics

Statistics

Histogram

Interquartile range

In descriptive statistics, the interquartile range , also called the midspread, middle fifty and middle of the #s, is a measure of statistical dispersion, being equal to the difference between the third and first quartiles....
of the data is the number of observations in the sample

Sturges' rule

Another approach is to use Sturges' rule: use a bin so large that there are about non-empty bins.

This works well for n under 200, but was found to be inaccurate for large n.