Setup
Population, statistic, and run controls
Simulation inputs
Choose what the population looks like, what you measure, and how quickly the animation runs.
Choose Custom drawn to sculpt a strange population directly on the population chart.
Run the experiment
Start with one animated draw, then scale up to see the sampling pattern stabilize.
Live readout
These values update as the simulation runs and the distribution builds.
Replications: 0. Selected statistic: Mean.
Observed Standard Error
This will update as replications accumulate.
Predict, then check
Suppose the population spread stays fixed and sample size rises from 5 to 30.
Make a prediction before running the larger sample.
Biblical/Ethical Stewardship and Integrity
A convenient sample can look persuasive while misrepresenting the population. Truthful communication identifies how the sample was obtained, distinguishes sampling variability from bias, and avoids certainty that the evidence cannot support.
Canvas focus: explain one way a stable sampling distribution could still lead to a poor business decision.
Visualization
Population, sample, and the sampling distribution
Compare the parent population, the current sample, and the chosen statistic's sampling distribution side by side.
Population distribution
Blue marks the mean, purple the median, and orange the sample-space spread around the mean.
Current sample draw
This panel resets on each draw so students can focus on the current sample only.
Sampling distribution of selected statistic
Every sample adds one new statistic box to this growing stack.
Static and accessible fallback
The live readout states the numerical results represented by each canvas. Every built-in population shape and simulation control is keyboard operable. For a custom-drawn population, print this page or use Save as PDF; your instructor can provide a static sampling-distribution worksheet with the same starting seed and an accessible population table.