Those are, in fact, the numbers at NYU. Penn has very similar numbers. I didn't check every school, but Harvard's 10%-ile is 3.78.
It might simply be semantics but, while no one might be rejected at NYU for having a 3.81, it turns out only around 13 out of 135 applicants are accepted with that GPA or below. Is it really nothing more than a coincidence that 90% of its successful applicants happen to have GPAs above that number?
It is probably worth keeping in mind that the bunching at these top schools is at 4.0, not 3.8 or even 3.9. The MEDIAN is 3.95 -- half of all accepted applicants are above that, the 25%-ile is 3.90, the 75%-ile is 3.99, and the 90%-ile is actually 4.0. As a result, 3.81 IS a significant deviation from the vast majority of successful candidates.
Believe it or not, the difference between a 3.81 and a 3.95 at a tippy top school (or 3.78 and 3.94 at Harvard), is exactly the same as the difference between a 3.44 and a 3.76 at your school. Is that also insignificant, in the eyes of your administration? If so, why is it so difficult to be successful with a GPA below 3.6? At a school like NYU, the relevant number is 3.9, not 3.6, and those few Bs spread over an entire UG transcript actually represents the difference between being at the median and the very bottom of the class.