AGES 9-14 - GUIDED STATISTICS
The Average Machine
A guided demo: draw many samples from the same population, average each sample, and watch those averages gather around the true population average.
Central Limit Theorem
true averagePopulation values
Averages from repeated samples
Latest sample values
population shape
sample averages
normal approximation
true average
Controls
average of n independent draws
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Live stats
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Central Limit Theorem. In this demo, each value is drawn independently from the same population.
Individual values can be lopsided, flat, or split into groups.
As each sample average uses more values, the distribution of those averages becomes more mound-shaped around the true average.
The spread of the sample averages is about
population SD / sqrt(sample size).
For small sample sizes or very lopsided populations, the bars can still look bumpy before the approximation becomes clear.