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2005 AMC 10BProblem 19P16-20~3 minPrint
Statistics & DataRatios, Percents & AveragesSet up the equation/formula and compute; no special trick neededTest small/specific values or special cases to find or verify the answer

On a certain math exam, 10%10\% of the students got 7070 points, 25%25\% got 8080 points, 20%20\% got 8585 points, 15%15\% got 9090 points, and the rest got 9595 points. What is the difference between the mean and the median score on this exam?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2005 12B #9.