Just because someone has "good stats" does not make his or her story ANY less interesting. The unfortunate truth is that the majority of these "elites" busted their butts more than their fellow classmates.
The other unfortunate truth is that stats DO matter more than ANYTHING else. You can be the most caring person in the world with a 25 and NEVER get one interview. In fact, you most likely will not. Being a good doctor is MORE THAN BEING CARING or interesting or altruistic.
If you have bad stats (less than 27 or 3.5) WAIT AND APPLY LATER. Don't waste your money and throw it at AMCAS. Don't just go DO because you can't wait an extra year or two. Do what is necessary to become competitive.