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Calculate sample standard deviation, population variance, and mean.
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Calculators & Maths
Calculate sample standard deviation, population variance, and mean.
Use the controls in Standard Deviation Calculator to enter your data, then review the result and any limitations shown in the workspace. File and calculator processing happens in this browser; the optional AI chat is a separate server-backed service.
Calculate population and sample standard deviation and variance. Yuitility keeps the workflow fast and focused, so you can complete the job without creating an account.
Tools that pair with the standard deviation calculator in the same task.
Calculate Arithmetic, Geometric, and Harmonic Means along with standard deviation.
Open the mean calculatorCalculate statistical median, sorted range, quartiles (Q1/Q3), and IQR.
Open the median calculatorFind statistical mode and value frequencies in data sets.
Open the mode & frequency calculatorFast, clean basic calculator for everyday calculations with memory and history.
Open the standard calculatorSee every tool in Calculators & Maths, or browse all Yuitility tools.
Used when your data represents a sample taken from a broader population.
Used when your dataset represents the entire complete population.
| i | xᵢ | (xᵢ - μ) | (xᵢ - μ)² |
|---|---|---|---|
| 1 | 10 | -8.0000 | 64.0000 |
| 2 | 12 | -6.0000 | 36.0000 |
| 3 | 23 | +5.0000 | 25.0000 |
| 4 | 23 | +5.0000 | 25.0000 |
| 5 | 16 | -2.0000 | 4.0000 |
| 6 | 23 | +5.0000 | 25.0000 |
| 7 | 21 | +3.0000 | 9.0000 |
| 8 | 16 | -2.0000 | 4.0000 |
