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Sample Variance and Standard Deviation from Summary Stats Calculator

Variance and SD from Σx², Σx, and n.

Calculates sample variance s² = [Σx² − (Σx)²/n] / (n−1) and sample standard deviation s = √s² from the sum of squares, sum of values, and sample size, without requiring raw data.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

s² = [Σx² − (Σx)²/n] / (n−1)

In depth

Calculates sample variance s² = [Σx² − (Σx)²/n] / (n−1) and sample standard deviation s = √s² from the sum of squares, sum of values, and sample size, without requiring raw data.