Editing Histogram (section)

==== Scott's normal reference rule ====
Bin width <math>h</math> is given by

:<math>h = \frac{3.49 \hat \sigma}{\sqrt[3]{n}},</math>

where <math>\hat \sigma</math> is the sample [[standard deviation]]. [[Scott's Rule|Scott's normal reference rule]]<ref name=scott79>{{cite journal |last=Scott |first=David W. |year=1979 |title=On optimal and data-based histograms |journal=Biometrika |volume=66 |issue=3|pages=605–610 |doi=10.1093/biomet/66.3.605}}</ref> is optimal for random samples of normally distributed data, in the sense that it minimizes the integrated mean squared error of the density estimate.<ref name=scott92>{{cite book|last=Scott|first=David W.|title=Multivariate Density Estimation: Theory, Practice, and Visualization|publisher=John Wiley|location=New York|year=1992}}</ref> This is the default rule used in Microsoft Excel.<ref>{{Cite web| url=https://support.microsoft.com/en-gb/office/create-a-histogram-85680173-064b-4024-b39d-80f17ff2f4e8#bkmk_scottrefrule| title=Excel:Create a histogram}}
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