Estimating the IQ of George Bush
Based on a message from Linda Gottfredson, Bush’s SAT percentile was 95. He also scored in the 85th percentile in verbal aptitude and the 65th in quantitative aptitude relative to the applicants, who had an average recentered SAT score of 1051 - about the 85th percentile. Assuming a subsample standard deviation of 14 (which isn’t particularly important given his scores aren’t that extreme), these would be z-scores of 2 for verbal ability and 1.45 for quant.
assuming correlation of 0.84 for SAT, 0.79 for verbal, and 0.77 for quant
Simulations generate an estimate of 127 with a standard error of 6