Riggs Stephenson and Bill Madlock are tied for the Cubs career batting average leader with .336.
hornsby
Frank chance
The Cubs 2008 team batting average was .278, second highest in the National League (the St. Louis Cardinals were first at .281). The leading hitter for the Cubs was shortstop Ryan Theriot with a .307 batting average.
Rogers Hornsby who hit .380 for the 1929 Cubs.
The 2009 Chicago Cubs had a team batting average of .255
Among the trio of Evers, Chance, and Tinker, Johnny Evers has the highest lifetime batting average. Evers recorded a batting average of .270 over his career, while Frank Chance had an average of .256 and Joe Tinker had a lower average of .262. All three were key players for the Chicago Cubs during the early 1900s, but Evers stands out with the best average among them.
Ted Williams had .420 under current batting average calculation rules in 1941, but officially he hit .406; the actual record belongs to Tip O'Neill, who hit .492 in 1887. If you discount 19th century players, the record is .424 by Rogers Hornsby.
As of 2010, the MLB team with the highest average ticket price is the Chicago Cubs.
Derrek Lee of the Chicago Cubs won the league batting title with a .335 average.
As far as batting average goes that would be Hall of Famer Rogers Hornsby who played with the Cardinals, Giants, Braves, Cubs, and Browns between 1915-1937. His career batting average was .358 and he is second all time in career batting average behind Ty Cobb.
The 2005 National League batting championship was won by Derrek Lee of the Chicago Cubs, who posted a .335batting average.