I don't know about the 'national average' but Oregon ranks 5th in the nation in per capita homelessness at 306 per 100,000.  (Hawaii is #1 at 487 per 100,000 and Mississippi is #50 at 74 per 100,000.)  

That's an improvement over 2010, 2011, and 2012 when we were #2 in homeless per capita in the nation.

The entire West coast (Alaska, Washington, California, Hawaii) is in single digits.  

http://www.movoto.com/blog/opinions/homelessness-in-america-maps/