This isn't really correct. How they decide what an IQ of 160 is, is by get thousands of people together, asking them questions and seeing what percentage of the population get which questions right or wrong.
Questions that are tagged 160 are irrelevant because they norming group is WAYYY to small to say 1 in 30,000 people will get this correct. It's simply not possible to come up with such a question. They questions that get you 160 on IQ score are almost certainly questions that no one in the norming group got correct.
So no, there's zero proof that 1 in 30,000 people have an IQ of 160. There simply haven't been that many IQ test administered to the general population to determine that.
Testing problems can make it hard to tell which specific people in a room of geniuses have 160 IQ, but by definition the smartest fraction of a percent of people in the world have 160 IQ. The only way that group doesn't exist is if that percent doesn't exist, as in IQ hits a brick wall at 140 or 150 and higher is impossible.
Questions that are tagged 160 are irrelevant because they norming group is WAYYY to small to say 1 in 30,000 people will get this correct. It's simply not possible to come up with such a question. They questions that get you 160 on IQ score are almost certainly questions that no one in the norming group got correct.
So no, there's zero proof that 1 in 30,000 people have an IQ of 160. There simply haven't been that many IQ test administered to the general population to determine that.