According to ESPN team statistics, a middle of the pack (15th out of 30) team turns the ball over 14.6 times a game and a middle of the pack team forces 14.9 turnovers per game. So it stands to reason that the average # of turnovers per game is right around 29.5
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In the 2011 NFL regular season, there were 1259 touchdowns scored, 745 passing, 400 rushing, 20 punt returns, 9 kickoff returns, 80 by the defense, and 5 classified as 'other'. There being 256 regular season games played in 2011, this averages out to 4.92 touchdowns per game.