A person can jump higher on the moon than on Earth because the gravitational force on the moon is weaker than on Earth.
On the moon, gravity is about 1/6th as strong as it is on Earth, so when you jump, there is less gravitational force pulling you back down. This allows you to ascend higher before gravity eventually pulls you back to the lunar surface. The other options provided are not correct: a person does not weigh more on the moon, the pushing forces are not stronger, and mass remains constant regardless of location.