One of the first things taught in introductory statistics textbooks is that correlation is not causation. It is also one of the first things forgotten.

Thomas Sowell

The thing about statistics is that beyond a point of learning where you have learned and codified all knowledge and understanding, there is a need to maintain a compendium. Sometimes, it’s good to remind yourselves of all the tools available and not just the hammers (read Deep Learning). The source code is embedded in the Title itself.

Central limit theorem states that if you sample sufficient number of samples from a distribution, albeit any kind of distribution and take their means. This process when repeated for multiple iterations, the means will follow a normal distribution.

The below histogram is generated using means from a normal distribution

The below histogram is generated using means generated from a poisson distribution with same mean as above normal distribution. Poisson has same standard deviation as mean value