Ellis netted seven of points during a decisive 9-0 run early in the second and Wiggins drained 10-of-12 free throws for the Jayhawks (14-4, 5-0 Big 12), who defeated a ranked opponent for a fourth consecutive game.
Joel Embiid notched 12 points and Frank Mason finished with nine and six assists.
Brady Heslip put in 19 points, including six 3-pointers, for the Bears (13-5, 1-4).
Cory Jefferson and Isaiah Austin each scored 16 as fading Baylor dropped a fourth in five games.
Celebrity Couples of 2014 [PHOTOS]