Standard Deviation, Variance & Mean Statistics Calculator (σ & s)
Calculate population standard deviation (σ), sample standard deviation (s), variance (σ² & s²), arithmetic mean, and coefficient of variation (CV%) with full computational steps.
Calculator Inputs
Live Real-TimePopulation Standard Deviation (σ)
Sample Standard Deviation (s)
8.63 s
Arithmetic Mean (μ)
20 μ
Population Variance (σ²)
59.6 σ²
Coefficient of Variation (CV %)
38.6%
Empirical Rule: In a normal distribution, approximately 68% of observations fall within one standard deviation of the mean.
Statistical Metrics Breakdown
Detailed Calculation Breakdown
Calculation Methodology
Mean (μ) = Σx / N. Population Variance (σ²) = Σ(x - μ)² / N. Sample Variance (s²) = Σ(x - μ)² / (N - 1). Standard Deviation = √(Variance).
Important Legal & Educational Disclaimer
This statistical analysis tool computes measures of central tendency and dispersion for scientific datasets.
This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.
Frequently Asked Questions
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