There's a difference between mass and weight, but that's largely unimportant for our purposes. What is important about mass is its effect on the stability of particles. Stability Many of the particles listed in the table above are unstable. That is, they decay into other particles. For example, a muon will live for only a short time before it decays into an electron and two neutrinos.
Particles can only decay into lighter particles, never heavier ones.
As an example, a muon is heavier than an electron, and a tau is heavier than a muon. In the chart above, the masses tend to get larger as you move from lower left to upper right, so in general particles tend to decay from right to left, and top to bottom. Also, any quark that decays will always decay to at least one other quark, and an unstable lepton will always decay to at least one other lepton. Because most of the particles above are unstable, all of what we normally consider matter, rocks, trees, people, etc., are made up of just u and d quarks and electrons. Basically, each particle listed above has an anti-particle associated with it.