Batting Average and BABIP

Expanding on my ESPN post about Robbie Cano having a batting average above his batting average on balls in play, I looked at some other players that managed the feat in the last decade and made a pretty graph of the home run and strike-out totals needed to pull it off at various batting average levels. The Beyond the Box Score post also answers the following trivia question:

Which one of these batters managed a batting average above his BABIP (FanGraphs calculation) in the most (qualified) seasons since 2000: Eric Byrnes, Jay Gibbons, Paul Lo Duca, Larry Walker.