🦊Foxulator
📈

Standard Deviation Calculator

Calculate variance and standard deviation of data sets

📖 How to Use

  1. Select sample or population
  2. Enter your numbers
  3. Check the deviation analysis

Features

  • Sample/population standard deviation
  • Variance calculation
  • Deviation table provided

📐 Formula

σ = √(Σ(xᵢ - μ)² / n)

💡 How It Works

  • Standard deviation measures how spread out data is from the mean.
  • Variance (σ²): The average of squared deviations. It's the square of standard deviation.
  • Sample standard deviation: Divide by n-1 (Bessel's correction). Use for sample data.
  • Population standard deviation: Divide by n. Use for entire population data.
  • In normal distribution: 68% within ±1σ, 95% within ±2σ, 99.7% within ±3σ.

FAQ

Q. What's the difference between sample and population?

A. Sample uses n-1, population uses n. Use sample for partial data sets.

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