Can this run skyrim in 1080p Medium. Using a i3 chip (no overclock)
you mean intel intergrated graphics?
no, you probably can't even run it at all. my i5 can't even do 1080p, let alone skyrim on 1080
HD3000 and HD4000 can not run skyrim very well. Go with an APU for a chance at even getting close.
or just buy a graphics card :3
i3 still, bottleneck