Two examples of Sturges' rule in action with normal data and sample sizes n = 2^{10} and n = 2^{20} with 11 and 21 bins, respectively. The points along the x‐axes depict the support intervals, (a, b), of the frequency charts.

Example of three rules on a normal sample of size 10^{6}. The sample range is (−4.93, 4.76). The number of bins given by Sturges' rule, the Terrell–Scott rule, and Scott's rule are 21, 126, and 277, respectively. The graph does not display the full extent of the histogram, and the histograms are displaced vertically for clarity. The true normal density is superimposed as a dotted line.

(Left) Bin width for standard normal data as a function of sample size for Sturges' rule (solid line) and Scott's rule (dashed line). (Right) Number of bins as a function of sample size for Sturges' rule (solid line) and over the oversmoothed density (dashed line).