Actually, deer harm more people each year in attacks than do bear or mountain lions. I used to collect news stories on them. The difference generally is that the attacks tend to only be during limited parts of the year, such as during the rut for bucks or when fawns are present for does.
Then you have the issue of wounded deer and hunters who fail in their job...
Do you really think there are more attacks on man by deer than bears?... or do you think a much higher percentage of the deer attacks make news than bear attacks?