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Why does the normal distribution show up so often in nature?
Interesting. But why is it so often used in science and research?
The normal distribution has some important properties that make it a useful tool for scientific research. One of these is the central limit theorem, which states that if you take a large enough sample from any population, the sample means will be normally distributed. So, for example, if you take a sample of student grades in a class, the average grade of the sample will be approximately normally distributed even if the individual grades are not.