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How to Calculate Standard Deviation

Calculate the standard deviation of a dataset.

The Formula

σ = √(Σ(x-μ)²/N)

The standard deviation formula uses the mathematical relationship: σ = √(Σ(x-μ)²/N). Each variable in the formula represents a measurable quantity that affects the final result.

Step-by-Step Method

  1. 1Identify all input values needed for the standard deviation calculation.
  2. 2Substitute your known values into the formula: σ = √(Σ(x-μ)²/N).
  3. 3Perform the arithmetic operations in the correct order (PEMDAS/BODMAS).
  4. 4Check that your result has the correct units and is within a reasonable range.
  5. 5Verify using the interactive Standard Deviation Calculator to confirm your answer.

Related Topics

standard deviationstatisticsvariance

Use the Interactive Calculator

Skip the manual math — get instant results with our free Standard Deviation calculator.

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