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Standard Deviation Calculator
Calculate standard deviation and variance of data sets
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Education & Learning ✅ Free to Use
Standard Deviation Calculator
Calculate standard deviation and variance to measure data spread and variability. Essential for statistical analysis, quality control, and research.
2.1381
Standard Deviation
σ (s)
4.5714
Variance
σ² (s²)
5.000
Mean
Average value
Very High Variability
Coefficient of Variation: 42.8%
Data points are widely scattered
Calculation Details
| Value | Deviation from Mean | Squared Deviation |
|---|---|---|
| 2.000 | -3.000 | 9.000 |
| 4.000 | -1.000 | 1.000 |
| 4.000 | -1.000 | 1.000 |
| 4.000 | -1.000 | 1.000 |
| 5.000 | 0.000 | 0.000 |
| 5.000 | 0.000 | 0.000 |
| 7.000 | 2.000 | 4.000 |
| 9.000 | 4.000 | 16.000 |
Standard Deviation Formulas
Sample Standard Deviation
s = √[Σ(x - x̄)² / (n-1)]
Used when data represents a sample from a larger population
Population Standard Deviation
σ = √[Σ(x - μ)² / n]
Used when data represents the entire population