UCLAMAN, I love your NBA analogy!

I agree with your stance regarding the med school application process--it isn't a crap shot. I used to believe that once I saw people being rejected with really high numbers and people being admitted with really low numbers; however, I feel now that an applicant must (as you said earlier) possess the "total package": scores, statement, and motivation. It's easy for an individual with a 3.9/40 to pass an initial screening for a secondary. If, however, they feel that their only calling to medicine hinges on the fact that they did well in prereq classes and scored high on the MCAT, then they've only achieved 1/3 of their premed potential. Compare that to the following analogy:
The Chicago Bulls are looking for a new point guard; they're looking at four possible candidates. Their selection criteria is as follows: need a point guard who can pass, penetrate (dribble) and ballhandling, and score. The first PG can score very well (20+ ppg) but isn't a very good passer or penetrator. The second PG can pass very well (9+ assists per game) but can't score to save his live; plus, he isn't a very good ballhandler. The third PG is an excellent ballhandler/penetrator (can dribble two balls simultaneously through his legs), but he can't pass or score. Finally, the fourth PG can do all three (12 ppg, 6 apg, can do several figure 8's in a row). Who's going to be drafted (hopefully...if the Bulls don't blow the draft pick)? PG number 4 because he has achieved a wider range of potential than the other three and is also multi-dimensional.
I feel that med schools want individuals who have (1) good (not necessarily great) scores, (2) well-written personal statements/essays, and (3) proof that medicine is their calling (through shadowing, research, volunteering...and not just doing these activities to fill out their application). The reason why some individuals with lower scores are still granted interviews is because they've probably achieved 2/3 of what med schools are looking for. If you've only bothered to focus on grades/MCAT scores, then you've achieved only 1/3 of what med schools are seeking in prospective matriculants. As we all know from elementary school, 1/3 < 2/3, so this shows that an individual needs to focus on more than just one criteria for med school (of course, it doesn't hurt to have all three
😀 criteria mastered). So though it might take longer for an applicant without stellar numbers to get the interview (compared to one who has perfect scores yet nothing beyond that), the one who has proof beyond scores will most likely be the matriculant.