Math

Introduction The Central Limit Theorem (CLT) is a fundamental result in probability theory and statistics that has profound implications for data analysis, hypothesis testing, and statistical inference. First formulated in the 18th century and rigorously proven in the early 20th century, the CLT establishes the surprising fact that the sum (or average) of a large number of independent, identically distributed random variables tends toward a normal distribution, regardless of the shape of the original distribution. ...