Home Calculators Standard Deviation Calculator

Standard Deviation Calculator

Find the standard deviation, variance and mean of any data set — for a population or a sample, instantly and privately.

How to use

  1. Enter your numbers separated by commas, spaces or line breaks.
  2. Choose whether your data is a population or a sample.
  3. Click Calculate to see the standard deviation, variance and mean.

Formula

Mean μ = Σx / N\nVariance = Σ(x − μ)² / N  (population)\nVariance = Σ(x − μ)² / (N − 1)  (sample)\nStandard deviation = √variance

FAQ

What is standard deviation?

It measures how spread out the numbers are from the mean. A low value means the data is close to the mean; a high value means it is more spread out.

Sample or population?

Population uses every value and divides by N. Sample divides by N−1 to give an unbiased estimate.

Is it private?

Yes — everything runs in your browser.

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More FAQs

Are these calculators free to use?

Yes, every calculator is completely free, with no signup and no limits.

Do I need an account or install anything?

No. Everything runs in your browser — no install, no account.

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standard deviation calculator, variance calculator, sample standard deviation, population standard deviation, statistics calculator, data spread calculator, mean variance