In a 15-year career with the Boston Red Sox, New York Yankees, Cincinnati Reds, and New York Giants (NL), Mays compiled a 207-126 record with 29 shutouts in baseballs, 862 strikeouts and a 2.92 earned run average when the league average was 3.48. He won twenty or more games five times. He was also noted for his skills with a at bat, hitting five home runs, recording 110 run batted in, and sporting a lifetime .268 batting average&mdash;an unusually high mark for a pitcher. Mays is the only Red Sox pitcher to toss two nine-inning complete game victories on the same day, as he bested the 1918 Philadelphia Athletics season 12-0 and 4-1 on August 30, 1918. Those wins put the Red Sox one step from clinching the league championship, as they led Cleveland by 3 1/2 games with 4 remaining to play.
Question: How many points higher was the league average than Mays' personal run average?
Answer: .56