What percentage of wildflowers have burrs?

We are up at our place in Williams, AZ (“Gateway to the Grand Canyon,” LOL). The remains of last years wildflowers all over the yard. We have a small poodle-ish dog, and he gets absolutely covered in burrs. The variety is pretty astounding. I found a new one this time, a seed head that looked like a tiny mace, with 1/2” long, very thin black spikes, each of which had a serrated edge. I was curious about how common a seed-dispersal method burrs were.