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And the meaning of the score changes over the years based on the test itself changing. Same goes for the company's GPA requirements where there have clearly been shifts across schools on the amount of grade inflation allowed or even encouraged.

As an aside, I'm not sure if I or the College Board can prove my score at this point.

Not only that, but the SAT is not an IQ test and you can definitely study for it. Students with wealthy or motivated parents can get study books or tutors which makes a huge difference in score.

The Princeton Review promises a 200 point score improvement with some of their packages. And they can fairly-reliably achieve it too.

And I guarantee you that claim is based on an intentionally flawed experiment where they take students who have never seen the test before vs after completing the program. The actual control should be against students who have taken a couple of cheaply available practice tests.

You can study for most IQ tests as well.

Yes; though SAT is less prep-resistant and it'd be smart to apply a "+/- 100pts" fuzz to a score.