I'm not being sarcastic when comparing your question a bit to "how much does a vehicle cost"?
In case of SFH construction, lot, number of stories, design, finishes and equipment all have a major influence. As a general guideline, I know from builders that you can start around a $100 for very basic construction, build _very_ nicely and upscale for $250/sf, but also easily exceed $500/sf if you reach into silly luxury territory in a tricked-out house.
Hope this helps.
All the best,
Tobias Kaiser, MS, CIPS
Greater Fort Lauderdale Real Estate Broker + Consultant
Certified International Property Specialist
Director, Realtors Commercial Alliance of Greater Fort Lauderdale