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Interesting comparison. There is actually a science to developing concordance tables. This approach -- matching percentiles -- is sometimes used as a short cut, but is considered less statistically reliable. That is why the SAT/ACT folks developed a specific concordance table. The results in the middle dont vary much, but at the extremes they do. For example, your table shows an ACT 35 as equal to a SAT 2390. But the "official" concordances would say either (1) an ACT 35 is a SAT CR/M 1560 and you need to add writing separately, or (2) an ACT 35 "represents" a SAT 2330. The SAT website only provides the two step concordance. The ACT website provides both a two step concordance and a one step conversion.
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