The Central Limit Theorem is valid
as long as we are sampling many small
random events, even if the events have different distributions (as long as no one random event has an overwhelming
influence).
Why is this cool?
It
explains why so many variables are normally distributed.
Further
properties
So
height is very much like our sample mean
. The “individuals” are genes and environmental factors.
Your height is a mean.
Now
we have a better idea of why the density curve for height has this
shape.
Example:
Height seems to be determined by a large number of genetic
and environmental factors, like nutrition.
