Hoda Osama

Understanding the Sampling Distribution of the Sample Mean and the Central Limit Theorem

The Central Limit Theorem (CLT) is a cornerstone of statistics and data science. It states that the distribution of sample means approaches a normal distribution as the sample size grows, regardless of the original population’s distribution. This powerful concept is essential for making statistical inferences, building confidence intervals, and running hypothesis tests. Whether you're analyzing user behavior in A/B testing or validating machine learning metrics, understanding CLT helps you interpret data more reliably and make better predictions.