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Is There an Optimal Way to Divide Shots?

So far in the 2018-19 season, the Oklahoma City Thunder lead the NBA in field goals attempted per game at 93.6, and the Memphis Grizzlies are at the bottom, with 83.5 per game. The rather finite number of shots per game sometimes seem to be forgotten when there are claims that Player X needs to “get more involved on offense” (see the Bucks game thread for examples). I realize this is a bit of a strawman, but hey, I need some inspiration for these pieces. Aside from the numerous ways that a player can contribute on offense besides hoisting shots, this lead me to wonder what the general shot distribution looks like across the NBA and for the Sixers in particular.