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Problem 19 (2022 AMC 8)

AMC 8Normal

From module Mean, Median, Mode, and Harmonic Mean

Problem

Mr. Ramos gave a test to his class of 2020 students. The dot plot below shows the distribution of test scores. [See figure in original PDF] Later Mr. Ramos discovered that there was a scoring error on one of the questions. He regraded the tests, awarding some of the students 55 extra points, which increased the median test score to 8585. What is the minimum number of students who received extra points? (Note that the median test score equals the average of the 22 scores in the middle if the 2020 test scores are arranged in increasing order.)

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