They have no idea.
There is not system set up to report a kill.
Thats a discrace IMO.
The 2012 Deer Almanac reports that Kansas does post season surveys for kill numbers. Some rip on Michigan's harvest data, as we don't call or register every deer. But they have surveys and check stations. It seems like I get a survey every year.
I think it was 09 where we had approximately 300,000 archery hunters, who took 117,000 deer I believe there was ~60,000 bucks. That is near 20% success on bucks. I have some rounding and guessing in there, but I am close. I have seen these numbers many times, and I just had my nose in the 2012 Deer almanac again.