A full statistical comparison isn't possible here, but the available career numbers offer some indication. On the surface stats, Cliff Carr and Dick Teed are difficult to separate — a proper verdict would need era context to resolve.
Seasons Hitting
Games Hitting
Plate Appearances
At Bats
Batting Average
Equivalent Average
Hits
Singles
Doubles
Triples
Home Runs
Extra Base Hits
Extra Base Hit Pct
Home Runs Per at Bat
Home Runs Per Hit
Base Runs
Total Bases
Times on Base
On Base Percentage (OBP)
Slugging Pct
OPS
Isolated Power
Gross Production Average (GPA)
Total Average
BABIP
Runs
RBIs
Runs Produced
Runs Created
Hit By Pitch
Walks
Intentional Walks
Strikeouts
Plate Appearances per Strikeout
Walks Per Strikeout
Sacrifice Hit
Sacrifice Fly
Ground into Double Play (GIDP)
Stolen Bases
Caught Stealing
Stolen Base Attempts
Stolen Base Percentage