The data is reported by two different sources.
No matter how we want to frame it - PSA is a “soft” denial. At regional admission sessions - the presenters say that the vast majority of “denials” are incomplete applications.
I think the DARS data (the first set of numbers) includes anyone who sent in a COMPLETE application. The second set is from the presentation from admission/provost. I believe those numbers include ever application received. So the ones without SAT/ACT scores, no transcript etc.
TAMU has made it clear that they “deny” very few applicants. They pretty much offer PSA to anyone who completes the application process, with very few exceptions.
And it should be noted that the second set of numbers is not apple to apples - 2018 is actual numbers with the reporting of PSA and Denials. The 2019 is rounded data and no breakdown of PSA and Denials.