A medium feeding apparatus includes a detection tension acquiring unit that acquires a detection tension which is a tension applied during an (n1)-th feeding operation in a plurality of feeding operations in which the medium is fed, a corrected tension calculating unit that calculates a corrected tension obtained by correcting a target tension which is a target value of a tension to be applied during a n-th feeding operation based on the detection tension, and a driving controlling unit that controls a roll motor during the n-th feeding operation based on the corrected tension.