Central Limit Theorem

The Central Limit Theorem is an important concept in statistics which states that, regardless of the underlying distribution of a sample, the sample mean tends to be normally distributed when the sample size is sufficiently large. This has important implications in determining the reliability of estimates of population means, variances, and proportions, as well as in the application of statistical tests and methods. It is used extensively in scientific research, polling, and other applications. The Central Limit Theorem is a cornerstone of modern probability theory and bound to have a major impact in the fields of statistics and data science.