Sampling Distribution LabStatLens

Draw samples from a population and watch a distribution of statistics build up. Two separate controls: sample size n changes which distribution you get (a different, narrower one), while drawing more samples just fills in the same distribution.

Population \(\mu\): — Population \(\sigma\): —
Samples

Population where samples come from

One sample the latest draw of n = 30 values

Sampling distribution one dot per sample's \(\bar{x}\)

The center of the sampling distribution sits at \(\mu\) for every \(n\) — increasing \(n\) does not move the center, it only shrinks the spread.

Choose a population shape and click a button to draw samples.

Sampling Distribution Lab

Draw repeated samples and watch the sampling distribution of the statistic build up. Sample size n and number of samples are two different controls with two different effects: more samples fill in the same distribution; larger n produces a different, narrower one.

What am I looking at?

Three linked panels: the Population you sample from, the latest One sample of n values, and the Sampling distribution on the right, where each dot is one sample's statistic. The sampling distribution is what builds up as you draw.

Choose the statistic

The toggle picks what each sample reports:

Set up the population

Draw samples

Use +1 / +10 / +100 / +1000 to add that many samples; each drops a dot into the sampling distribution. Reset clears it. Changing n or the population starts a fresh distribution.

Compare and overlay

Keyboard shortcuts

1
+1 sample
2
+10 samples
3
+100 samples
4
+1000 samples
0
Reset
Space
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