This is the published profile for the Class of 2015:
http://admissions.westpoint.edu/pdf/Profile.pdf
Volume of Applicants Men Women Total
Applicant Files Started 11,198 2,756 13,954
Nominated 3,627 717 4,344
Qualified (academically & physically) 2,141 399 2,540
Admitted 1,049 212 1,261
If you look closely at the 'Qualified' category, it says, 'Qualified (academically and physically)'.
I may be interpreting too literally, but in admission's terms, that is only 2 of the 3 'Qs'.
It does not mention that 'Qualified' included those that were Medically Qualified. So therefore, I interpret that category as such - giving stats on those that were academically and physically qualified and not those that were FULLY qualified which would include the medical (DoDMERB) qualification.
This profile also says that 4344 were nominated. One might infer that all 2540 that were 'Qualified (academically and physically), were part of that 4344 nominated number. It could very well be that some of those 2540 did NOT receive a nom. It can not be assumed that all 2540 received a nom.
I do not see anywhere in this profile that says x number were 3Q'd with noms. All that we can definitively say is that 1261 (admitted number) were 3Q'd with a nom. Of course, there were more than that that were '3Q'd with a nom' but not all that are '3Q'd with a nom,' get an appointment.
We also don't know from these stats how many were offered an appointment.
All this to say that different people can look at the same stats and come to different conclusions.
There are many ways to interpret these stats that could possibly lead to misleading interpretations.