How does barometric pressure influence gravity?
Mars has less mass then Earth, and it’s gravity is only about 38% that of Earth’s. So you’d jump higher and get more hang time simply because of this. Mars would have a lower barometric pressure as well, because (a) the atmosphere is much thinner and (b) there isn’t as much gravity pulling the atmosphere down toward the planet. I don’t know that barometric pressure (either on Mars or on Earth) exerts enough force to create a noticeable difference in jump height.