Variance Calculator

Calculate variance and standard deviation from your data

Variance Calculator

Calculate variance and standard deviation from a set of numbers

Enter numbers separated by commas or spaces (e.g., 1, 2, 3, 4, 5)

Formulas:

  • Mean: μ = (x₁ + x₂ + ... + xₙ) / n
  • Variance: σ² = Σ(xᵢ - μ)² / n
  • Standard Deviation: σ = √σ²

About Variance Calculator

Our Variance Calculator helps you measure the spread or dispersion of your data. Variance and standard deviation are fundamental measures in statistics that tell us how much the data points deviate from the mean.

Key Measures:

Variance (σ²)

The average of the squared differences from the mean. It measures how far the data points are spread out.

Formula: σ² = Σ(xᵢ - μ)² / n

Standard Deviation (σ)

The square root of variance. It's in the same units as the original data and is easier to interpret.

Formula: σ = √σ²

Applications:

  • Data Analysis: Understanding data spread and variability
  • Quality Control: Monitoring process consistency in manufacturing
  • Financial Analysis: Measuring investment risk and volatility
  • Scientific Research: Analyzing experimental results and uncertainty
  • Statistical Testing: Hypothesis testing and confidence intervals