im new to Statistics so please just dont blast me if my question seems stupid for you :(
I studied the Central Limit theorem via the Khan Academy video, and know i know that
The central limit theorem states that the sampling distribution of the mean of any independent, random variable will be normal or nearly normal, if the sample size is large enough.
However, i listen to many people saying that
the sum of many independent random variables will tend towards a normal distribution
The fact is that im new able to reconcile this 2 definitions. Can you help me ?