One of the features of my story is a psychological examination of a certain person who lost his memory (found on a bench in a city park with complete amnesia) and after a short examination was taken to a special institution, where it was found that in terms of his intellectual abilities he was much more superior to our level with you. I will not say why he turned out to be smarter than other people, I will only say that if, for example, our average intelligence level corresponds to 100 IQ, then it should have been equal to 400 or more.
But here there is a problem that I would like to talk about. So the IQ tests used today, in fact, are not an invariable unit of measurement of intelligence, assessing individual cognitive abilities, such as the ability to analyze a given situation or remember this or that information. So in fact, you can't even score 300 on most standard IQ tests. The IQ test only works within the specified deviation of your ability, how far you are from the average of the group for which the test was designed. This means that the average IQ will always be one hundred points, since this is how it is defined. Current certified IQ tests are accurate only for plus or minus two standard deviations, ranging from 70 to 130 points. Anything outside this range means that an IQ test is not appropriate for accurately measuring a subject's cognitive capabilities, and that is what needs to be addressed.
The question is: if I can't use standard IQ tests to assess the intelligence of this smarter person than anything we've met before, how should I do it?