And an IQ of 298? On a Wechsler exam? How could anyone have taken that number seriously? How would you even test for it using the standard exams, which falter at scores way,
way below 200? According to
this table of IQ percentiles, an IQ of 202 is expected in one person in nearly 200 billion. I suspect that this number isn't accurate (otherwise, Marilyn vos Savant and Chris Langan being alive at the same time in this general area of our galaxy would be statistical impossibilities), but it gives an idea of how rare a score of 298 would be (unless there really
are crazy smart Vulcans living in the 40 Eridani A star system, that is).
FWIW, assuming mean=100, sd=15, the frequency of an IQ of 298 should be about one in twenty octodecillion= 20,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000=2*10^{58}, which is more than the number of atoms in the solar system.
ETA: Correction
FWIW, assuming mean=100, sd=15, the frequency of an IQ of [at least] 298 should be about one in
forty octodecillion=
40,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000=
4*10^{58}, which is more than the number of atoms in the solar system.
I should have calculated probability of being at least 16.2SD away on one side not both (so the previous calculation was probability of IQ>=298 or IQ<=-98).
