Quote:
Originally Posted by DaBears
Sorry for the dumb question, but how exactly does that work? One SD is 65%, two is 95% and three is 99%. If I assume 50 = 0, 60 = 1, 70 = 3 and 80 = 4.....
That would, as an example, I have 150 SP's (30 x 5), zero to one SP would be rated 80. If I have 240 RP (30 x 8), one to two would be 80. Finally, if I assume nine batters as starters per team, I've got 270 (30 x 9), so again, only maybe two to three (?) are 80's in the ratings. But there are more 80's in the game than that (maybe 5-6 using math above).
Just curious on your thoughts about that math. Interesting discussion item.
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The statement in bold is incorrect. A standard deviation is a measurement of dispersion of the trait in a population, agnostic to the shape of that distribution. The percentages you cite are NOT a definition of SD; rather, those percentages are among the defining parameters of a normal distribution: it is the fact that the shape of the trait among the population or sample that is one of the features that makes a given distribution “normal”. In any event, even if baseball talent among the human population is presumed to be normally distributed, the scouting scale is concerned with only a sample of that population located extending from some point on the right tail to the right terminus—professional baseball players. This regular (i.e., diminishing) right tail cannot have a normal distribution. It is asymmetrical, namely declining in occurrence as the aptitude level increases.