Just some draft data ha-ha's.
Using drafts from 1995-2004. This includes some players that still have careers left to accumulate numbers, but for the most part, we are through their primes. The 2004 draft class included Verlander, Neil Walker, Stephen Drew, for instance. I didn't want to go more recent because you start getting into guys still in their primes like Justin Upton. I didn't want to go too far back in time because I think the pre/post strike era had some real differences in the way teams got built.
Just using bWAR for simplicity, a couple of graphs.
First, average career WAR for each draft position.
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Then, for each draft position, number of players (out of 10) that did not achieve a 10 career WAR. For comparison's sake a 10 career bWAR player is someone like David Murphy
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I don't know that there is a lot to learn other than even in the first round, you have a high chance of drafting a washout. Of course with only 10 year's data there is a lot of noise which if I were going to get into any kind of real analysis would probably mean smoothing data by clumping pick groups or something like that. For instance, just looking at this data you could say you'd rather have the 9th pick than the 3rd or 4th, but that's just noise in the data. I suppose if we saw a larger trend we might think that it's the difference between ceiling picks and floor picks but who knows.