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📊 Statistical Analysis Lab: 2D Dot Plot and Sampling Distribution

2D statistics lab: drag data points, the mean and the standard deviation, and watch the sampling distribution of the mean converge to a normal curve.

Probability & Statistics2DEasy60 FPS📱 Mobile-adapted⇄ 3D version

Details

CategoryProbability & Statistics

RenderingCanvas 2D

DifficultyEasy

Target FPS60

ControlsSliders for sample size, population mean, population SD, histogram bins, resample size and auto-draw speed; distribution selector (normal, uniform, skewed, bimodal, heavy-tailed) and presets; drag dots, the mean line and the SD handles; new sample, add outlier, +100 means, clear means, play, step and reset.

statisticsmeanstandard deviationcentral limit theoremsampling distributionconfidence interval

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⚙ Under the hood

Interactive 2D statistics lab: drag individual data points, the mean line or the standard-deviation handles of a dot-plot sample and watch mean, median, SD, skewness and the Student-t confidence interval update, while a second histogram of sample means converges to N(mu, sigma/sqrt(k)) by the central limit theorem.

statisticsmeanstandard deviationcentral limit theoremsampling distributionconfidence interval

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install