The purpose of IQ tests is to derive a value that would predict other values. The inverse is also true.

Given a multitude of such values it would even be possible to get back to a precise IQ value.

IQ tests are just factor analysis artifacts. You can dream up 100 questions that you conjecture may have something to do with intelligence and not even know the answers and have 10,000 people answer them. Product of the factor analysis of the answers will yield a normal distribution which you can then center on 100. Calibration can be more complicated than that but you get the point.

The natural circumstances people find themselves in are also just noisy questions.

This argument is basically a rejection of the science of IQ testing and I am here for it.