What would a person's weight be on Mars compared to one's weight on Earth?

The strength of gravity is proportional to M/R^2 where M and R are the mass and radius of the planet.

The weight ratio for planets 1 and 2 is

W1/W2 = (M1/M2)(R2/R1)^2

For specific value for Mars, see
http://www.universetoday.com/22603/mars-compared-to-earth/