📊 Central Limit Theorem (CLT): the magic behind modern statistics
One of the most powerful concepts in statistics is the Central Limit Theorem.
What is the key idea? 👉 When we take many samples and compute their means, those means end up following a normal distribution, even if the original data were not.
✨ Why does it matter?
Because thanks to this we can use tools based on normality for almost any kind of data:
- 📈 Confidence intervals
- 🧪 Statistical tests (t-test, z-test)
- 🔀 A/B testing
🧩 Explanation for beginners:
Imagine your data is “chaotic” or very irregular. If you take enough samples (for example, 30 or more) and look at their means, those means behave in an orderly and predictable way. That “emergent normality” is what allows making reliable inferences about a population without the original data being perfect.
Also published on LinkedIn.
