Taller means a higher starting point
Your center of mass sits roughly at your navel, so a 1.93 m jumper begins the clearance about 7 cm higher than a 1.81 m jumper of the same build. That is free height and it is the only advantage stature reliably hands you. Seven centimeters is also smaller than the spread between a jumper's good day and a bad one. The heights that go with each level are in average high jump height by age.

