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Standard Deviation Formula Calculator

Online standard deviation: s=√(Σ(x−x̄)²/n), same units as the data (population).

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s=√(Σ(x−x̄)²/n)
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📖 Tutorial | Standard Deviation

1. Definition
Standard deviation s=√variance=√(Σ(x−x̄)²/n), with the same units as the data.
2. Formula & Notation
sStandard deviation
3. Properties & Laws
  • Square root of variance;
  • Same units;
  • Non-negative;
  • Population divides n.
4. Steps
  1. Enter data;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: variance 8: SD 2.8284.
6. Common Pitfalls
Take the root;
Same units;
Not the variance.

❓ FAQ | Standard Deviation

SD?
√variance.
Units?
Same as data.
Vs variance?
Dimension.
Non-negative?
Yes.
Example?
2.8284.
Sample?
n−1.