<p>
</p>
<p>Sure, your statistical argument is correct and I was not attempting to falsely misrepresent the collective score totals. I was not suggesting that the cumulative scores above and below the 25th percentiles were 2040 and 2320, correspondingly. I was simply providing a gauge of its scores although it clearly does not provide an accurate measure of the collective total at each of the given percentiles simply because bell curves are not linear functions. It is common practice to state the scores as I did simply because the individual section scores are the only data available to us and merely adding them provides a relative, rough, and easy-to-remember estimate of the academic quality of the school. But yes, it is not statistically accurate to suggest that those are the cumulative score totals and I can see how it would surface some misconceptions.</p>
<p>One might be able to rationally come to the conclusion that adding at the 75th percentile is not an accurate reflection of cumulative scores if one looks at those of Yale. It would simply not be true that 25% of the student body has scores of at least 2370. Given that there are only about 1,100 students who score at that level in each given year, it would be illogical to assume that Yale had approximately 40% of them.</p>