A new approach to understanding the Central Limit Theorem
In this article , we try to make sense of what Central limit theorem implies looking into it with two perspectives , the theoretical perspective and the experimental perspective . I hope you might have surely thought about statisticians being too attached in some sense to the normal distribution :P We , try to understand why this obsession makes sense .... The way we try to understand this is using an experiment . So , the experiment is drawing a sample of say 20 points from the uniform distribution and computing mean (average) for these points and plotting that point on a separate Cartesian plane. Doing this drawing of 20 points from the distribution exercise repeatedly for say n times and computing mean and plotting it , we finally get the well known bell shaped curve for the mean values we plotted . And Boom , we just understood the central limit Theorem !! Food for thought !! Though the distribution we were sampling from is basically not a normal distribution , but what we get b