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.
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