I don’t think any existing measure could be Gaussian with any sort of accuracy at tail ends, because there you need too large sample size to norm the test & generally, the approximate Gaussian you get due to many random additive factors deviates by huge factors from Gaussian at the tail ends. Bulk of norming of a test comes from average people.
Ditto for correlations between IQ and anything. Bulk of reported correlation comes from near the mean.
Incidentally, is there even any empirical evidence that intelligence is normally distributed in any concrete sense?
I don’t think any existing measure could be Gaussian with any sort of accuracy at tail ends, because there you need too large sample size to norm the test & generally, the approximate Gaussian you get due to many random additive factors deviates by huge factors from Gaussian at the tail ends. Bulk of norming of a test comes from average people.
Ditto for correlations between IQ and anything. Bulk of reported correlation comes from near the mean.