@wstrav, you are right when you apply above logic to SAT scores it makes no sense to report that 50% of admitted scored between 720-800 for math, since section scores are capped at 800. First I thought, may be the ACT supers-coring may have something to do with this high an ACT range (32-35) for the middle 50%, but Vanderbilt does not superscore and Duke considers only the highest sub-scores from multiple ACT tests, but does not recompute the composite scores. The explanation for this high an range must be within the overlap of students who submit both the ACT and the SAT scores - students who scores high on one test, must also score high on the other.