Probability Under the Bell Curve
by Anonymous · ⭐ 0 · 🍴 0
The mean and standard deviation fully define a normal distribution curve. Build one yourself, see that the 68–95–99.7 rule holds for any standard deviation, and standardize with z to read probabilities.
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About this app
The Probability Under the Bell is an interactive lesson on the normal distribution. Adjust the mean and standard deviation to see how they move and reshape a bell curve, explore the 68–95–99.7 rule, and standardize values with z = (x − m) ÷ s to read the probability to the left of x. Guided missions and visual feedback help learners connect the formulas with the graph.
Use cases
- High school students learning normal distributions
- Teachers demonstrating mean and standard deviation
- Learners practicing the 68–95–99.7 rule
- Students exploring z-scores and cumulative probability
Features
- Interactive mean and standard deviation controls for a bell curve
- Visual comparison with the standard normal distribution
- Selectable 1s, 2s, and 3s intervals with 68%, 95%, and 99.7% coverage
- Interactive z-score calculation using x, m, and s
- Shaded visualization of probability to the left of x
- Guided missions with reset, next, and progress feedback