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2021 AMC 10AProblem 16P16-20~4 minPrint
Statistics & DataSequences & SeriesBound the quantity above/below or estimate to pin it downSet up the equation/formula and compute; no special trick needed

In the following list of numbers, the integer nn appears nn times in the list for 1≤n≤2001 \leq n \leq 200 . 1,2,2,3,3,3,4,4,4,4,…,200,200,…,2001, 2, 2, 3, 3, 3, 4, 4, 4, 4, \dots, 200, 200, \dots , 200 What is the median of the numbers in this list?

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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.