quick question wrote:
this is your answer wrote:I agree that the quality of the coach is more important than the size of the school, but you jokers that keep stating in essence that a big school has no advantages over a small school are smoking some serious crack! Do you know NOTHING about the laws of statistics???
there is no law of statistics.
what exact advantage does a big school have over a small school in cross country? Why wouldn't the same girls that do well in a big school do just as well in a small school? And vice versa?
Hopefully you are not trolling. I will assume your question is serious, and try to answer it seriously:
Let's say the average girl, after being trained in a solid program, can run 20 minutes for 5k, with a standard deviation of 30 seconds. A typical bell curve shows that if you have 1000 girls in your school, 340 of them will be capable of running 19:30-20:00, 140 can hit 19:00 to 19:30, and 20 can hit sub 19. The other 500 girls are spread out similarly at times greater than 20 minutes. If 10% of your female student body chooses to run xc (yes, I am ignoring the ability of the coach to recruit, as this is simply an explanation of how two coaches, of equal ability, recruiting skills included, will have two different teams based simply upon the SIZE of their school) then all of those numbers get divided by 10, and you now have 2 sub 19 girls, with 14 more girls at sub 19:30. That's a decent team. But if you double the size of the school, you suddenly have FOUR girls under 19, and you are now competing for a state title. Your coaching skills didn't improve at all ... you simply had a larger number of more talented girls to work with.
Does that make any sense?