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Career wise, that would be Tony Gwynn (1982-2001) with a .338 career average. As of the start of the 2008 season, Gwynn ranks 20th all time in MLB career batting average. For a single season, that would be George Brett (1973-1993) with a .390 average in the 1980 season.

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Q: Best batting average by player whos career started after 1970?
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