The eye-hand coordination or hand-eye coordination refers to the tendency to perform activities, which need the corresponding application of eyes and hands, like an activity that utilizes the information the eye gets to mediate the hands to carry out a motion.
In the given case, as Mark wants to build his upper body strength and hand-eye coordination then he should show some interest in sports, like baseball or softball as the mentioned sport ranks highest in the requirement of most of the hand-eye coordination and upper body strength.