Hi,
The question “What would be the possible issues with an IQ based voting system” (https://worldbuilding.stackexchange.com/questions/83199/what-would-be-the-possible-issues-with-an-iq-based-voting-system/83205) is protected but I’d like to post my answer to @JamesD.
IQ follows a gaussian distribution, such that:
https://wikimedia.org/api/rest_v1/media/math/render/svg/ffe7c5cbdecda556bf2170e31f1f9a127b74e239

With μ being the mean, σ the standard division and x the IQ.
In your case x is defined in the range [50:150], and we will take μ as 100 (average for the American population) and S…