Mathematics
How to Use the Central Limit Theorem in Practice
Quick fact
Even if the population is wildly skewed (e.g., incomes), the distribution of sample averages becomes bell-shaped for sample sizes of just 30 or more—a magical result that powers polls and medical trials.
Why this is interesting
You probably think it's impossible to know the average height of every person in your country—but with just a few hundred samples, you can predict it with surprising accuracy. How? The Central Limit Theorem quietly works behind the scenes.