re: When does the PoliBoard start posting their IQ scores?

quote:

---

Your IQ should be around 115

---

While ACT and SAT correlate with IQ measures and load on G, it would be possible to predict one's IQ with those tests; however, a major confounder is that SAT and ACT score distributions are derived from individuals who are disproportionately represented by college-bound students while IQ distribution are derived from the population as a whole. In addition, we don't know whether the factors to take either the ACT or SAT impacts the representativeness either.

National Center for Education Statistics ACT Averages and Standard Deviations

It appears that mean and standard deviations of the ACT are roughly 21 (20.98) and 4.9 (4.87) respectively. So with an ACT score of 29, that yields a z-score of ~ 1.65 which is equivalent to a standard score (scores used in IQ tests) of about 125.

Assuming a 0.7 correlation with IQ, we can regress the 125 to yield a predicted IQ score would be about 118 with a standard error of the estimate of about 10.7. However, since the ACT distribution is likely skewed higher than the normal population because of the college-bound selection bias, then the predicted score would then be even higher, with the extent dependent on the extent of the skew.