That's a tough question to answer because there is really no 'average MLB pitcher' stats. Some pitchers, like the starter, might pitch 6 or 7 innings in a game while a reliever may come in and only pitch to 1 batter. The chances are that the average starter will have more strikeouts than the average reliever.
However, it is pretty easy to say how many strikeouts are in the average MLB game. In the National League for 2009, there were 1295 games played and 18205 strikeouts recorded. This averages out to 14 strikeouts per National League game. In the American League for 2009, there were 1135 games played and 15386 strikeouts recorded. This averages out to 13.6 strikeouts per American League game.
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Buddy Scholtz had 26 strikeouts in a game for Miami University.
Nolan Ryan does not hold the record for strikeouts in a game. Roger Clemens and Kerry Wood are tied for the record with 20.
Randy Johnson - 19
For the stat "Strikeouts per 9 Innings" for pitchers that have pitched at least 1000 innings the all time leader, through games played on September 22, 2009 is Randy Johnson with 10.61 strikeouts per 9 innings pitched (4872 strikeouts in 4132 1/3 innings pitched).Second all time is Kerry Wood with 10.39 strikeouts per 9 innings pitched (1466 strikeouts in 1270 1/3 innings pitched) and third is Pedro Martinez with 10.05 strikeouts per 9 innings pitched (3152 strikeouts in 2823 1/3 innings pitched).
actually Charles radbourn had 441 strikeouts but they still don't count that season there for nolan Ryan holds the record with 383 strikeouts