Python — Central Limit Theorem

Abhijat Sarari
8 min readSep 25, 2024

Have you ever wondered why flipping a coin multiple times gives us a pattern or how rolling a dice repeatedly creates a predictable outcome? This is where the Central Limit Theorem (CLT) comes into play. The Central Limit Theorem is a foundational concept in statistics that helps us understand how and why random events tend to produce normal, predictable patterns when repeated enough times.

In this article, we’ll break down the Central Limit Theorem in a way that’s simple to understand, even for beginners. We’ll explore its key terms, use Python to demonstrate how it works, and explain its significance in statistics. By the end, you’ll have a solid understanding of the Central Limit Theorem and its practical applications.

What Will You Learn?

  • What is the Central Limit Theorem (CLT)?
  • Key concepts and terminologies (with simple definitions)
  • How CLT works using examples
  • Visualizing CLT using Python
  • Frequently asked questions about the Central Limit Theorem

What is the Central Limit Theorem?

Imagine you are flipping a coin. You flip it 10 times, then 20 times, and then 50 times. Over time, you’ll notice that the number of heads and tails starts to balance…

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