Math & Calculators•Free & Browser-Based
Standard Deviation Calculator
Calculate sample standard deviation, population standard deviation, variance, and mean with step-by-step deviation tables.
Mean (Average)21.67
Median22.00
Mode25
Sample Std Dev (s)5.98
Total Count: 9
Sum: 195
Min: 12
Max: 30
Variance: 35.75
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What is the Free Online Standard Deviation Calculator?
Standard deviation measures the dispersion or spread of values around their arithmetic mean. A low standard deviation indicates values cluster tightly near the mean; a high value indicates wide dispersion.
100% Client-Side Privacy: Calculations and data processing occur entirely in your local browser memory. Zero files or personal inputs are uploaded to our servers.
How to Use Standard Deviation Calculator Online: Step-by-Step Guide
- 1Enter your dataset numbers separated by spaces or commas.
- 2Review both Sample Standard Deviation ($s$, dividing by $n-1$) and Population Standard Deviation ($\sigma$, dividing by $N$).
- 3Inspect the variance and step-by-step deviation table.
Mathematical Formula & Underlying Logic
s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}} \quad | \quad \sigma = \sqrt{\frac{\sum (x_i - \mu)^2}{N}}
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