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<p>Actually, I don’t think we can reach that conclusion. Harvard reports 25th-75th SAT CR of 690-800, and SAT M of 700-790. USNews (and some others) then add up the two figures and report 25th-75th SATs as 1390-1590. But you can’t assume that everyone who was in the bottom quartile in CR was also in the bottom quartile in M.
There are likely some “lopsided” scorers who did better in CR than in M or vice versa.</p>
<p>Suppose Harvard enrolled just 4 students with the following scores:</p>
<p>Student A: CR 680, M 800
Student B: CR 700, M 790
Student C: CR 800, M 710
Student D: CR 800, M 700</p>
<p>Then it would report its 25th percentile CR at 690 (bottom 25% scoring below that figure) and its 75th percentile at 800 (bottom 75% scoring up to that figure); i.e., SAT CR middle 50% 690-800.</p>
<p>It would also report its SAT M middle 50% as 700-790. </p>
<p>If you add those two figures together (as US News and some others do), you’d say “SAT 25th-75th percentile 1390-1590,” which is what US News reported for Harvard for its 2010 entering class. And someone reading that might say, “I can’t believe a quarter of the people Harvard enrolls have SAT CR+M below 1390.” </p>
<p>But that would be a false inference, if an understandable one, based on faulty presentation of the data. If you go back and look at my hypothetical scores, they range from 1480 to 1510. The low score (out of 4) is 90 points higher than the figure you’d get by simply adding the CR 25th percentile to the M 25th percentile, and the high score (out of 4) is 80 points lower than you’d get by simply adding the CR 75th percentile to the M 75th percentile.</p>
<p>Of course, my hypothetical makes everyone lopsided; the real world isn’t like that. In Harvard’s actual admission pool, some people probably have balanced scores in the mid-700s, some have double 800s, others are close to that. But it’s likely that many (or even most of the people they admit with low CR scores balance that off with high M scores, and vice versa. So the 25th-75th percentile data, presented the way they’re usually presented, are potentially very misleading. It’s likely there aren’t 25% of people attending Harvard who actually scores below 1390. And at the top end, it’s likely that not as many as 25% of the entering class scored a 1590 or 1600.</p>
<p>So if you look at that 25th percentile figure and think, “Gee, I’m at least at the 25th percentile, maybe I have a chance,” you might want to think again; you’re probably not as close to the actual 25th percentile as you think, based on the faulty way the scores are reported. By the same token, if you’re toward the higher end but under the reported 75th percentile, don’t despair; the actual 75th percentile might actually be lower than you think.</p>