2023 Academia Sinica Open House

People often pursue the value of eternity, yet this world is full of changes. This presentation will introduce the Central Limit Theorem, a powerful tool in the field of statistics. This theorem reveals that when we randomly sample from a distribution, the distribution of the sample means will gradually approach a normal distribution, regardless of the original distribution. In other words, it tells us that behind random phenomena, there exists a stable and predictable pattern. In this presentation, we will delve into the principles of the Central Limit Theorem and explore its applications across various domains, thereby finding some eternal order amidst the fluctuations of change.