IQ is not like height. Height is a fairly objective physical measurement that is directly relevant for basketball because of the game setup. IQ is the result of a projection of an extremely high dimensional space into a single number that is not directly relevant for mathematics (people do mathematics in an extremely heterogeneous way). Erdos, Ramanujan, and Groethendieck were all top notch and were all very very different from each other. Erdos I think couldn't tie his shoes. Ramanujan was an Indian peasant. Groethendieck wasn't exactly a high functioning individual.

A better analogy would be if a basketball coach cared about "hit points" (determined by whatever methods doctors use, slatestar would know more).