Variance Calculator
Calculate population and sample variance with step-by-step solutions
📊 Variance Calculator
Formula
s² = Σ(x - x̄)² / (n-1)
Where:
- σ² =Population variance
- s² =Sample variance
- μ =Population mean
- x̄ =Sample mean
- N =Population size
- n =Sample size
About Variance
Variance measures how spread out the data points are from the mean. It quantifies the average squared deviation from the mean.
Types of Variance:
- • Population Variance (σ²): Uses N as denominator
- • Sample Variance (s²): Uses (n-1) as denominator (Bessel's correction)
- • Standard Deviation: Square root of variance
Applications:
- • Quality control and process monitoring
- • Financial risk assessment
- • Scientific research and experiments
- • Performance analysis and comparison
Tips
- Enter the dimensions in the same unit for consistency.
- Results update automatically as you type.
- Use the unit selector to convert between different measurement systems.