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Originally Posted by DELurker
Actually, what are they all? The team-weighted center, the geographic-based center, and the team-size-weighted center are all different means of answering the same question. All are justifiably as valid.
Another would be the team-funding-inverse-weighted center, basing the weight of a team off of the inverse of it's funding, thus giving less-well funded teams more weight due to their difficulties in traveling.
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Good idea.
Here, 40.38577925, -74.95323414, is the center weighted by average district score. After all, why should a team's location matter if they don't attend the championships? Either way, it's still in Lambertville, just a little farther west, suggesting that the good teams are pretty evenly distributed over MAR.
The inverse-funding center sounds like the best idea, but unfortunately I don't think that that information is publicly available. I tried to replicate it by finding the inverse-size-of-sponsor-list center. I know that some sponsors give more than others and that this isn't perfect, but hopefully the size of the sponsor list roughly correlates to team funding. Anyway, that center is 40.44366073, -74.80339903. It's in a place called Ringoes, NJ. It's a little farther north and a little farther east than the center of teams.