Any bear over 1000 pounds is a very large specimen and certainly well above average or typical. IOW, the majority of hunters coming to Alaska to hunt bears would go away disappointed if breaking 1000 pounds were a criteria. Fortunately, very few bears get weighed.
No arguement from me there. Bears, unlike most ungulates, grow throughout their life and the upper size limits are a long way from the typical/average sizes.
Here in AB, I'd guess 90%+ of the black bears taken are under 250 lbs but there are also some 600+ lb bears out there.