DI steals/gm: 7.2
HD DI steals/gm: 6.7
HD DII steals/gm: 6.9
HD DIII steals/gm: 7.2
Knowing the averages is great, but that doesn't really address how variable the engine is. If a team shoots 10% one game and then 78% the next game, their average would be 44%. Standard deviation is the way to measure how variable the game to game results are.
DI fg% SD: 7.17
HD DI fg% SD: 7.26
What does this mean? This means that the average NCAA DI team will shoot between 36.83% and 51.17% 68% of the time. 95% of the time they will shoot between 29.66% and 58.34% and 99% of the time they will shoot between 22.49% and 65.51%. In other words, only 2 out of every 3 games in real life will the average DI team shoot between 37% and 51% - a third of their games will produce a result above 51% or below 37%.
This also means that HD teams follow suit with regards to how much and how frequently any given game's statistics deviate from a team's average.
Here are the other standard deviation numbers:
DI fg3%: 11.99
HD DI fg3%: 12.68
HD DII fg3%: 13.00
HD DIII fg3%: 12.86
DI ft%: 11.27
HD DI ft%: 10.62
HD DII ft%: 10.45
HD DIII ft%: 10.86
DI fouls/gm: 4.25
HD DI fouls/gm: 4.05
DI turnovers/gm: 3.79
HD DI turnovers/gm: 3.94
HD DII turnovers/gm: 3.99
HD DIII turnovers/gm: 4.03
DI steals/gm: 2.78
HD DI steals/gm: 2.78
HD DII steals/gm: 2.85
HD DIII steals/gm: 2.89