What is the big deal about the Central Limit Theorem? To me, it seems pretty obvious. Not that I would’ve discovered it back in the day but now that it has been discovered it seems easy to understand.

I see articles from time to time talking about how amazing and revolutionary CLT is and was, and I guess? But it just seems like, how could it be any other way? It’s like saying, “Isn’t it amazing the color ‘red’ is ‘red!'” Wow!”

Maybe I’m missing something.