<p>It is a very good analysis, SharingGift.<br>
If I may add, there could also be two factors that may have an impact on the numbers. </p>
<ol>
<li>% of day students at a boarding school.</li>
<li>% of Asian students, especially China and SKorea.</li>
</ol>
<p>Assume there are two schools of similar caliber. If School A has more day student % than school B, it may show higher SAT scores because day students may have an easier access to SAT prep outside the school. I heard that directly from one of the admission directors of the schools that we applied last year. So, I think it has some impact. Not always true but in many cases, yes, especially when the school is located near the metropolitan areas. </p>
<p>Also, if School C has a higher Asian population, I would assume their average SAT scores could be higher. I know many SKorean boarding students spend each summer back in SKorea doing extensive SAT prep work. I may be totally wrong, but those could be a factor although how to take that into the actual calculation is a question mark.</p>