Jose Abreu has been a revelation in his first season with the Chicago White Sox. The Cuban first baseman entered Sunday leading the major leagues with 30 home runs and appears to be a shoo-in for the American League's Rookie of the Year award.

But as far as his home runs actually go, Chicago's six-year, $68 million man sure hits a lot of cheapies.

Nearly half of Abreu's homers—13 of 30—have barely gotten over the wall, according to Hit Tracker, a website that documents home-run data. That is by far the highest rate since 2006, the first season for which Hit Tracker data is available.

Ryan Howard, who led the league with 48 home runs in 2008, had only nine "just-enough" home runs all season. Additionally, four of Abreu's home runs have been "lucky"—the designation for shots that wouldn't have been home runs on a 70-degree day with calm winds. Among past home-run champs, his luck rate is only rivaled by Miguel Cabrera's six lucky ones out of 44 dingers in 2012.

Meanwhile, only two of Abreu's homers qualified as "no-doubt" home runs, meaning they cleared the fence by at least 20 vertical feet and landed at least 50 feet past the fence. Edwin Encarnacion of the Toronto Blue Jays has 26 home runs this year, and 13 of them were no-doubters.