Bronco, you wanted stats, so here is a great link that really breaks it down. You can find out by residency, by major, by SAT, by class rank.
http://avillage.web.virginia.edu/iaas/instreports/studat/admission.shtm
Basically, 93% overall are in the top 10% of their school rank...engineering 98% are in the top 10%
AVG SAT is 1350 overall.
Top quartile for Math is 740. Top 50% is 690....engineering is 780 and 740.
Verbal is 720 for quartile, and 670 for 50%.... engineering is 730 and 680.
~~~ I place engineering because 80% plus for AFROTC and NROTC are awarded to science majors.
A 1420 for engineering would be considered 50%.
The break down for admissions is: 24% for OOS compared to 41% IS, with an avg of @30% admitted. The most interesting fact is out of 27K applicants, only 8800 were IS, the remaining 18K+ were OOS. Only 4K were offered out of the OOS pool. Also look at the yield rate for IS enrollment. It is 63%. For OOS it is @27%. Ultimately, more OOS students are offered admittance(numbers, not %) than IS, but when it comes to enrollment, more IS enroll than OOS.
Now again, from an NROTC perspective they are not like AFROTC where HQ for NROTC does care how many are on scholarship. AFROTC they don't care if 100% are on scholarship at a det or 0%. That means for you as an NROTC applicant you really can't afford to not be in the 1400+ range, be it IS or OOS. Take my 0.019075 cents worth of opinion and now toss it in the garbage can.
In the end you have 0% chance if you don't apply. You can look at all of the stats, but your mind will implode unless you love AP stats, especially if you are going for a ROTC scholarship. The best thing you can do is apply with the strongest package you are able to submit. Good luck.