system
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human
Central Limit Theorem

I'm an ug sociology student. In our statistical methods in sociology course one subject interested me which is Central Limit Theorem. Does any critical or/and comprehensive artical, journal etc has been written about why  the shape of the population distribution, the sampling distribution of the sample mean approaches an approximately normal distribution ? How can be explained from sociological point of view?
gpt
The Central Limit Theorem isn't a product of biology or sociology or any other sort of behaviour of living things. It is a mathematical theorem, with the same rigour and validity as the Pythagorean Theorem or the Sine Law or any number of other mathematical facts. This is because the Central Limit Theorem doesn't say anything about the underlying thing being sampled -- it only says things about the samples when you do the sampling multiple times.