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Normal Distribution Parameter Explorer

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About This MicroSim

Explore how the mean (μ) and standard deviation (σ) parameters shape a normal distribution curve.

How to Use

  • Adjust μ₁ slider to shift the curve left or right (changes center)
  • Adjust σ₁ slider to make the curve wider/flatter or narrower/taller
  • Click Compare to add a second curve for side-by-side comparison
  • Use Reset to return to default values

Key Insights

  • Mean (μ) determines the center/peak location of the curve
  • Standard deviation (σ) determines the spread/width
  • Larger σ → wider, shorter curve (more spread out)
  • Smaller σ → narrower, taller curve (more concentrated)
  • Total area under any normal curve always equals 1

Lesson Plan

Learning Objective

Students will predict how changes to μ and σ will affect the shape and position of a normal distribution curve (Bloom's Taxonomy: Understanding, Analyzing).