Interactive STEM visualization for AP curriculum.
Adjust mean and standard deviation to see how the normal distribution bell curve shifts and stretches. Shade probability regions to compute areas under the curve and connect z-scores to percentiles.
Watch the Central Limit Theorem emerge in real time. Choose uniform, right-skewed, bimodal, or normal populations, set sample size n, and take samples one-by-one or in bulk. The sampling distribution of x̄ converges to a bell curve regardless of population shape — see it happen live.
Simulate hundreds of confidence intervals and watch the coverage rate converge to the chosen confidence level. Adjust μ, σ, n, and confidence level (90/95/99%). Green bars capture the true mean; red bars miss it. Builds intuition for the correct long-run interpretation of CIs.
Build scatter plots by clicking the canvas or loading preset datasets (strong positive, strong negative, moderate, none, outlier). Pearson r and r² update live. Toggle regression line, residuals, and 95% ellipse. A color-coded gauge maps r from −1 to +1. Observe how outliers distort r.