Apparently, GenForum is not sending me replies to my messages any longer.
I am traveling, but I had my wife look up the issue. It did not say anything more than what you show. This is apparently a summary transcription from a census, probably the 1850 census and almost certainly from somewhere in Pennsylvania. Try searching the 1850 Pennsylvania census index.
Also look in th3 1810 and 1820 Rhode Island censuses for Avery families.