statistics descriptive

Standard Deviation & Variance Calculator

Key statistical tool measuring data dispersion around the mean. Computes sample ($n-1$ Bessel correction) and population ($n$) metrics.

Input Parameters

Data 1 (x₁)

Data 2 (x₂)

Data 3 (x₃)

Data 4 (x₄)

Data 5 (x₅)

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Sample Variance s² = ∑(x - x̄)² / (n - 1). Sample SD s = √s². Population Variance σ² = ∑(x - μ)² / n.

In-Depth Guide & Mathematical Methodology

📈 Sample vs Population Standard Deviation

Sample SD (s): Used when data represents a sample of a larger population (divides by n-1, Bessel's correction).

Population SD (σ): Used when data includes all members of a population (divides by n).

Frequently Asked Questions (FAQ)

What is the Standard Deviation & Variance Calculator and how does it work?

Key statistical tool measuring data dispersion around the mean. Computes sample ($n-1$ Bessel correction) and population ($n$) metrics.

How do I use this Standard Deviation & Variance Calculator?

Enter up to 5 numerical values for sample or population. View Sample ($s$) and Population ($\sigma$) Standard Deviation and Variances.

What mathematical formula is used in this calculation?

Sample Variance s² = ∑(x - x̄)² / (n - 1). Sample SD s = √s². Population Variance σ² = ∑(x - μ)² / n.

Is the Standard Deviation & Variance Calculator on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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