Ty Cobb had a lifetime batting average of .366
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Ty Cobb batted .367 for his career. That is the highest career batting average in major league baseball history.
Ty Cobb with a .366 lifetime average. The single season leader is Hugh Duffy at .4397 in 1894.
.341
Ty Cobb won 12 batting titles.
For an MLB batting title, yes. In 1907, Cobb led the AL and Wagner led the NL with averages of .350. When not rounding the number of decimal points in the batting average Cobb had the better average. Cobb had 212 hits in 605 at bats for a .3504 average and Wagner had 180 hits in 515 at bats for a .3495 batting average which rounds to .350.