Standard Deviation Calculator
Calculate sample and population standard deviation with comprehensive statistical analysis
Standard Deviation Settings
Configure calculation type and input method
Use when your data is a sample from a larger population
About Standard Deviation
Sample vs Population
- Sample (n-1): Use when data is a sample from a larger population
- Population (n): Use when data represents the complete population
- Sample standard deviation is typically larger than population
Interpretation
- Low Std Dev: Data points are close to the mean
- High Std Dev: Data points are spread out from the mean
- 68-95-99.7 Rule: Normal distribution percentages
Key Formulas
- Sample: σ = √[Σ(x - μ)² / (n-1)]
- Population: σ = √[Σ(x - μ)² / n]
- Variance: σ² (square of standard deviation)
Uses
- Quality control and process improvement
- Risk assessment in finance
- Research and data analysis
- Performance measurement