Difference between revisions of "1992 AJHSME Problems/Problem 13"
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Revision as of 16:36, 2 August 2011
Problem
Five test scores have a mean (average score) of , a median (middle score) of and a mode (most frequent score) of . The sum of the two lowest test scores is
Solution
Because there was an odd number of scores, must be the middle score. Since there are two scores above and appears the most frequent (so at least twice) and , appears twice. Also, the sum of the five numbers is . Thus, the sum of the lowest two scores is .