Since 1936, Rod Carew has the best batting average by a Hall of Famer with 500+ at-bats in a season, with an average of .388 in 1977.

highest ba in a season by a hall of famer with 500 ab since 1936
Interpreted as:
highest ba in a season by a hall of famer by a player with 500 or more ab since 1936

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