Lookingforward, applying to a school absolutely IS a purchase decision. Money exchanged hands. Time is spent by both parties. Chooses are made (which school do I apply to?).
And surely you are not suggesting that the numbers don’t matter (check most elite schools CDS for clarification on that). Naviance is a helpful tool as it shows clearly how varied the odds are based on test scores/GPA. I took my S20’s scores and the 10 schools he is currently targeting. I eliminated the 2 with an acceptance rate above 25%. Using easy and conservative statistical assumptions (standard deviation, etc.) to eliminate those applicants with virtually no chance of acceptance, the average acceptance rate of 14% (as published by the schools) almost tripled (to 40%). On the flip side, those below my statistical line had <1% acceptance rate. This group of applicants ranged from 30% to 55% of the applicants. Would they have applied had they known their chances of acceptance were almost zero and not the 11-21% stated by the schools? Maybe. Would other students with stronger stats (perhaps those without the benefit of a tool like Naviance or a solid GC?) have applied had they known their chances were actually higher than stated by the schools? Maybe. Probably.
The fact is that the acceptance rate, not broken down by the critically important scores bands, robs applicants of the chance to make the best decisions of choosing schools to apply to. Wealthier schools and districts minimize this impact with tools like Naviance and strong GC departments.
Simple probability is in play, but using the information supplied by schools does not allow accurate probability estimates. Therefore, the schools are not doing what they can to ensure a solid purchase decision by the potential applicants.