# Video Tutorial – Rolling 2 Dice: An Intuitive Explanation of The Central Limit Theorem

April 15, 2014 2 Comments

According to the **central limit theorem**, if

- random variables, , are independent and identically distributed,
- is sufficiently large,

then the distribution of their sample mean, , is approximately normal, and this approximation is better as increases.

One of the most remarkable aspects of the central limit theorem (CLT) is * its validity for any parent distribution* of . In my new

**Youtube channel**, you will find a

**video tutorial**that provides an intuitive explanation of why this is true by considering a thought experiment of rolling 2 dice. This video focuses on the intuition rather than the mathematics of the CLT. In a later video, I will discuss the technical details of the CLT and how it applies to this example.

Eric,

I loved this lesson. A bight light bulb lit up over my head to light my path. Thank you!

I’m so glad to hear that, Bob! Thanks for watching!