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Standard Deviation Calculator

Result

Population1.4142135624
Sample1.5811388301
↗ Math

Standard Deviation Calculator — free online calculator.

Formula

Method: Compute the mean of the five values and SS = Σ(x−mean)²; population SD = √(SS/5), sample SD = √(SS/4).
  • Standard Deviation Calculator calculates its result from v1, v2, v3, v4, v5. It uses the formula Calculated with the verified ST Calculator runtime.. Change any input to recalculate the result instantly.
  • The main inputs are v1, v2, v3, v4, v5. 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: Standard Deviation

Inputs
  • v1: 1
  • v2: 2
  • v3: 3
  • v4: 4
  • v5: 5

Using v1 = 1, v2 = 2, v3 = 3, v4 = 4, v5 = 5, the calculated result is Population: 1.4142135624 | Sample: 1.5811388301.

Sample result: Calculating…

Frequently asked questions

What does the Standard Deviation calculate?

Standard Deviation Calculator — free online calculator.

Which values should I enter?

Enter v1, v2, v3, v4, v5 using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Method: Compute the mean of the five values and SS = Σ(x−mean)²; population SD = √(SS/5), sample SD = √(SS/4)..

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