Sampling, distributions and simulation
Draw random samples, simulate distributions and explore probability with hands-on statistical tools.
Random Sample Generator
Draw a simple random sample of a chosen size from a numbered population.
StatisticsProbability Distribution Simulator
Simulate draws from uniform, normal, or binomial distributions and see the shape.
StatisticsMonte Carlo Pi Simulator
Estimate the value of Pi by randomly sampling points in a square.
StatisticsRandom Number Table Generator
Generate a printable grid of random digits, in the classic statistics table format.
StatisticsRandom Walk Simulator
Simulate a random walk and watch its path plotted live.
StatisticsMonty Hall Problem Simulator
Play the classic Monty Hall probability puzzle and see the odds in action.
StatisticsCentral Limit Theorem Demonstrator
Watch averages of random samples form a bell curve, no matter the source distribution.
StatisticsA/B Test Group Assigner
Randomly assign users or records into A/B test groups at a chosen ratio.
StatisticsSampling, distributions and simulation
These tools are built for genuine statistical work: drawing a simple random sample from a numbered population, simulating draws from uniform and normal distributions, and running classic Monte Carlo demonstrations like estimating Pi from random points in a square. Each one is designed to be both practically useful and pedagogically honest about what it's actually doing under the hood.
A simple random sample is only valid if every member of the population genuinely has an equal, independent chance of selection — which depends entirely on the quality of the underlying random source. See the true random vs. pseudo-random guide for why Xrandom uses the Web Crypto API rather than a basic pseudo-random function for anything sampling-related.
This category also includes visual, exploratory tools — the Central Limit Theorem demonstrator and the Monty Hall simulator among them — built for building real intuition about probability, not just producing a number.