Statistics Variance (σ² or s²) Calculator
Use this online variance calculator to calculate sample variance (s²) and population variance (σ²) for any dataset.
Variance is a fundamental measure of statistical dispersion, representing how far data points spread from their mean (μ). In descriptive statistics, population variance (σ²) measures the variability of an entire finite population. In inferential statistics, sample variance (s²) estimates population variance using a representative sample. A smaller variance indicates that data points are clustered closely around the mean, while a larger variance indicates wider spread. This calculator provides detailed step-by-step solution for both population and sample variance.
It generates a complete step-by-step solution showing the mean, deviations, and squared sums, making it a valuable learning tool for students and researchers.
Population and Sample Variance - Difference and Applications
Variance is a fundamental measure of statistical dispersion, representing how far data points spread from their mean (μ). In descriptive statistics, population variance (σ²) measures the variability of an entire finite population. In inferential statistics, sample variance (s²) estimates population variance using a representative sample. A smaller variance indicates that data points are clustered closely around the mean, while a larger variance indicates wider spread. This calculator provides detailed step-by-step workouts for both population and sample variance.
