What he offers
If Greg Monroe was born 10 years earlier, the later years of his career likely would have worked out far better. Monroe is a traditional back-to-the-basket center who has tremendous skill on the low-block.
Last season Monroe averaged .94 points per possession on post-ups, ranking him in 69th percentile among qualified players.
He also has the ability to work out of both the elbow and short corner. He has range out to about 15-ish feet although not much more than that.
Monroe is an excellent passer for a traditional center. Last season for Boston, Monroe averaged more than twice as many assists per game as Jonas Valanciunas did for the Raptors.
Defensively, Monroe leaves a lot to be desired. He is smart and works hard, however his physical limitations prevent him from even approaching mediocre. Ground-bound to the point you question if he is secretly playing with ankle weights, Monroe doesn’t move his feet very well on the perimeter or provide any type of rim-protection.
Last year when Monroe was on the court, the Celtics allowed 108 points per 100 possessions, 6.5 greater than their average as a team.
To put that in perspective, as a whole the Boston Celtics were the best defense in the league. When Monroe was on the court they were worse the Orlando Magic.
Playing Monroe is a balancing act, deciding whether the good on offense outweighs the bad on the other end.