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A guy I reffed with while we were both in college did a research project along these lines. I think 2-3 miles, depending on the game, was about the consensus. We worked exclusively 2 man back then, so I think 3 man would back to that to about 1.5-2 given the C's smaller length of travel (in general).
I think my friend tried as best he could to include trips to the table, time out positioning. Everything but the haul *** off the court after the buzzer (where I've seen even the slowest officials make their case for world class speed!)
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