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[There are errors on the official results sheet, some more prominent than others. e.g., the results show a "Lewis-Mills H. S., Me." when this is almost certainly Lewis S. Mills High School in Connecticut. The 1986 results show medium-sized school Middletown, RI, while the 1987 results show medium-sized school Middletown, CT -- both of which exist, but it seems unlikely that one school would qualify one year and a nearly-identically named school would replace them the next year.]
Note: Small and Medium School scores are comparable, because they are derived from the individual scores of six students and a team round where each question is worth three points. For Large School scores, there are eight students per team and each team round question is worth four points. So, to make the scores across divisions roughly comparable, multiply the Large School scores by 3/4.