I do not agree with your post at all. Anybody that had sufficient training in statistics would not say such a thing. I do not mean to sound harsh as my some of my posts tend to be interpreted that way. We live in a world of statistics and any statistic you see from an accredited source, such as statistics Canada and whatever the equivalent is in the US, are accurate to within some percentage of the original figure. I'm assuming the AAMC is somewhat accredited and does not post inaccurate figures, so the fact that people only increase an average of 2-3 points is quite correct.
Now that being said, only a small percentage of people that write the MCAT are part of this forum, so of course you are going to hear wonder stories about 5-9 point increase and they can all be true. These people were obviously the ones that put in the effort and time to increase their mark, and were the ones to realize that a 5-9 point increase will not just happen with some wishful thinking. Most degrees require you to take a basic course in statistics at the first or second year level and I can assure you that averages, medians, standard deviations, etc. are only the tip of the iceberg when statistics are calculated. Anyways, there is no doubt that anybody can rise above everybody else and be better than the "statistics", everybody just has a different story to tell.
If your original post was meant to encourage people not to become part of the statistics and to encourage them to be better than what the AAMC says is normal, i.e. the 2 point increase, than accept my regrets in advance and consider this post a supplement to your ideas.