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Statistics

Class width for a histogram calculator

How wide each bin should be, from either a target class count or Sturges’ rule.

What this calculator does

Class width for a histogram works out how wide each bin should be, from either a target class count or Sturges’ rule. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulawidth = (max − min) / classes; Sturges’ rule: classes ≈ ⌈log₂ n + 1⌉

The inputs explained

FieldWhat to enter
Minimum valueA number. Starts at 12.
Maximum valueA number. Starts at 98.
Desired number of classesA number. Starts at 8.
Sample size (for Sturges’ rule)A number. Starts at 50.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with minimum value

Every other input is held at the calculator’s starting values while minimum value varies. Select any row to load that scenario into the calculator.

How the answer changes with minimum value
Minimum valueClass widthRangeSturges’ suggested classes (from n)
611.50092.0007
911.12589.0007
1210.75086.0007
1810.00080.0007
249.25074.0007
367.75062.0007