Last player to have a batting average >.400 is what he's famous for but in the last few decades (as "Moneyball"-style analytics took over the sport) "on-base percentage" is now generally considered a better measure. Ted Williams is the all-time career leader with .4817 and led the league in it a record twelve times (see https://en.wikipedia.org/wiki/List_of_Major_League_Baseball_... )