Why are sampling distributions important to the study of sta

Why are sampling distributions important to the study of statistics?

Solution

A statistic has its own distribution, which is associated yet distinct from the main population distribution.

Now to calculate a statistic from some data, one must think of it as being fixed.

But while that measurement is fixed, the statistic has variability still has a distribution only because it is based on a sample.

So the basic inferential statistics is all about figuring out the real and unreal; the distribution represents noise and needs to be accounted for.