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  2. Mathematics
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  4. Normal Distribution
📐 MathematicsGraph

Normal Distribution

Interactive Gaussian bell curve. Adjust mean and standard deviation to see how the distribution shifts and spreads.

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Key Concepts

  • • 68-95-99.7 rule: ±1σ, ±2σ, ±3σ cover 68%, 95%, 99.7%
  • • μ shifts the curve; σ controls spread
  • • Area under curve = 1 always

More Mathematics Tools

Explore other mathematics graphs and simulations.

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Linear Regression

See how ordinary least squares regression fits a line to noisy data. Adjust the relationship and noise level to explore model fit and R².

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Graph

Binomial Distribution

Interactive binomial probability bar chart. Adjust n and p to see how the distribution shifts and spreads, with mean and standard deviation shown.

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Graph

Riemann Sums

Approximate definite integrals with left, right, and midpoint rectangle rules. See how increasing the number of subdivisions improves accuracy.

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Graph

Taylor / Maclaurin Series

See how polynomial approximations converge to sin x, cos x, eˣ, or ln(1+x). Adjust the number of terms to watch the series home in on the function.

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Graph

Chi-Squared Distribution

Plot the chi-squared PDF for different degrees of freedom. Shade the critical region — essential for IB Biology and Psychology IA hypothesis testing.

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Graph

Trigonometric Transformations

Interactively transform A·sin(Bx + C) + D. Adjust amplitude, frequency, phase shift, and vertical translation to see each effect individually.

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