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Here's some data from the games on chessgames.com:
# of games in database: 536,792
Years covered: 1475 to 2009 (535 years)
White wins 199,141 games (37.10%)
Black wins 144,886 games (26.99%)
192,759 games are drawn (35.91%)
Average # of moves per game: 39.52
Average Elo rating of rated players: 2226