Wow! look at you! you've managed to ride the coattails of someone who is able to copy and paste from Wikipedia!
You should be so proud of yourself! A little pat on the head just for you!
Here's another paste from Wikipedia, I give you permission to ride my coattails as well:
A
central limit theorem is any of a set of
weak-convergence results in
probability theory. They all express the fact that any sum of many
independent and identically-distributed random variables will tend to be distributed according to a particular "attractor distribution".
What this means is that if there were a test to absolutely determine the safety of a pilot with a score, several scores on a chart would approximately be a normal distribution. So no, you do not need to enter statistical data to have a pretty good idea that this too would tend to be like most other things in the world.
By the way, even if it were not true, it would follow some kind of distribution which would include a median. If you were then to take a whole pile of scores for each hour of experience, acquire medians for each and plot them again, the higher times would tend to be on the right side of, you guessed it, a normal distribution curve. Though extremely high time vs someone with half that extremely high time probably wouldn't have much difference.
Insurance companies and the FAA have already figured this out which is why, astonishingly, hourly minimums exist at all!
