I got a pretty low/average score, but took the test early in junior year so I hadn't taken some of the more advanced math courses yet. I never took it again since I got into everywhere I applied to (didn't apply to ivy league, obviously). Seemed like most other kids I knew did similarly with the smartest kids maybe 150 points higher (2400 time-frame). Nobody I know got a perfect score, or even close to it.
Edit: man, after talking about this I want to see what my score was exactly. No way am I paying $30 for an archived score though. I want to say it was only 1200/1600 (the schools only wanted 2 of the sections). But I'm not sure I trust my memory for something so inconsequential from that long ago.
Extra edit: found my old score report. It's worse than I thought. The writing was 570 (74th percentile) and math was 510 (47th percentile). I'm a lot dumber than I remember.
http://go.collegewise.com/how-many-people-get-a-perfect-sat-...
The mean SAT score is ~1600, so it's a 30 point increase for students scoring in that range.
If you're already capable of getting a 2350+, that means you know everything and it's just down to variance and not making a silly mistake.
A perfect 2400 score is actually really rare. From a stat in 2009, the collegeboard reported that 1 student out of every 5,000 taking the SAT gets a 2400.
The SAT does not operate in the way the LSAT or some other computerized tests work where it keeps giving you harder and harder questions until you start getting them wrong.
I suspect more people could get a 2400 if those who get really close bother retaking it.
"So many" being ~500 out of a population of ~7 million or so
Not so sure about that. Beyond the fact that that number is an average, the question is from where to where. So many kids get perfect 2400 scores that going from 2370 to 2400 might be the difference of getting eliminated from competitive admission pools altogether. Whereas nobody will care about you going from 1850 to 1880.
P.s. I am dating myself a bit with the 2400 range, which seems to have changed at some point. Transform accordingly :-)