Samples and the Central Limit Theorem
We rarely measure everyone, so we measure a sample and use it to estimate the population. Different samples give different means. The Central Limit Theorem says that the means of many samples form a bell curve centred on the true mean, whatever the shape of the original data, and the larger the samples the narrower that bell.
The spread of sample means is called the standard error: sd / sqrt(n).
Examplepython
Quick check
As the sample size grows, the spread of the sample means...
Your turn: write the code
Print the standard error for a standard deviation of 12 and a sample of 36, rounded to 2 decimals.
Finish the quick check (and any code exercise) to complete this lesson, or mark it done yourself.
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