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Standard Deviation Calculator

Variance = Σ(x − mean)² / (n − 1) for a sample, or / n for the population.

Inputs and units

  • Numbers: Enter your value in the format and unit shown.
  • Mode: Choose Sample (n − 1), Population (n).

Calculation method

Variance = Σ(x − mean)² / (n − 1) for a sample, or / n for the population.

Worked example

The example values are: Numbers = 2,4,4,4,5,5,7,9; Mode = sample

  • Count: 8
  • Mean: 5
  • Variance: 4.5714285714
  • Standard deviation: 2.1380899353

Assumptions and limitations

Check that the inputs and units describe your situation.

Using your result

Select Calculate after changing inputs. Copy result copies the displayed output; Download result saves a text file. Reset returns the form to its example inputs. Calculations run in your browser.

Standard Deviation Calculator FAQs

What method does this calculator use?

Variance = Σ(x − mean)² / (n − 1) for a sample, or / n for the population.

What should I check before using the result?

Check that the inputs and units describe your situation.