I'm trying to collect more data. Tell me if this work for converting between SAT and LSAT scores, if you've taken both. (Note that it's only valid if you took the SAT after 1995.) From what I've seen, so far so good. Rounding error is +/- 1 point.

LSAT = (SAT)/20.7 + 100.7

My starting points, for those who are interested: From the MENSA entrance requirements, I'm equating a score of 163 with the 98th percentile of the general population. I'm also equating the median SAT of 1019 with the theoretical median IQ of high school graduates, 110, which is about the 75th percentile.