Skip to content

Pooled Standard Deviation Calculator

Result

Calculated result 5.5802808965 Based on the values entered.
↗ Math

Pooled Standard Deviation Calculator — free online calculator.

Formula

sqrt(((n1-1)*s1^2+(n2-1)*s2^2)/(n1+n2-2))
  • Pooled Standard Deviation Calculator calculates its result from n1, s1, n2, s2. It uses the formula sqrt(((n1-1)*s1^2+(n2-1)*s2^2)/(n1+n2-2)). Change any input to recalculate the result instantly.
  • The main inputs are n1, s1, n2, s2. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Pooled Standard Deviation

Inputs
  • n1: 20
  • s1: 5
  • n2: 25
  • s2: 6

Using n1 = 20, s1 = 5, n2 = 25, s2 = 6, the calculated result is 5.5802808965.

Sample result: Calculating…

Frequently asked questions

What does the Pooled Standard Deviation calculate?

Pooled Standard Deviation Calculator — free online calculator.

Which values should I enter?

Enter n1, s1, n2, s2 using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: sqrt(((n1-1)*s1^2+(n2-1)*s2^2)/(n1+n2-2)).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026