📊 شماریات (Statistics)

Random WalkGaussian, Lévy flight and lattice walkers diffuse from the origin — watch the √t… Probability Distributions ExplorerAdjust parameters live across Normal, Binomial, Poisson, Exponential and Uniform… Birthday Paradox — Probability SimulationJust 23 people give a 50% chance of a shared birthday — run Monte Carlo trials and watch… Bayesian Inference — Prior, Likelihood & PosteriorNewAdd observations and watch a Beta-Binomial posterior update live — pick a scenario, adjust… Linear Regression — OLS Least SquaresDrag data points and let ordinary least squares refit the line, with residuals, slope,… Hypothesis Testing — t-test & p-valueDraw samples, run a t-test and see how effect size, sample size and alpha move the p-value,… PCA — Principal Component AnalysisRotate a cloud of correlated points onto its principal components, watching eigenvectors… Bootstrap Resampling — Confidence IntervalsResample one dataset thousands of times with replacement to build a sampling distribution… Normal Distribution & Central Limit Theorem — Interactive SimulatorAdjust μ and σ to reshape the PDF and CDF, then watch the Central Limit Theorem pull sample… Bayesian UpdatingFlip a coin and watch a Beta-Binomial posterior update live, converging on the true bias p… Benford's LawCount leading digits in Fibonacci numbers, populations or your own data and see how closely… Regression to the MeanPick extreme performers from a correlated pair of scores and watch their follow-up drift… Student's t-TestRun one-sample, two-sample or paired t-tests and watch the t-distribution, p-value shading… Galton BoardWatch balls cascade through a peg board and collect into bins tracing the binomial… Error Propagation & UncertaintyNewBuild a formula for z = f(x,y) and watch Monte Carlo confirm the analytical error…