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2024 AMC 10A Problem 12

Problem 12 of 25IntermediateAlgebra

Zelda played the Adventures of Math game on August 11 and scored 17001700 points. She continued to play daily over the next 55 days. The bar chart below shows the daily change in her score compared to the day before. (For example, Zelda’s score on August 22 was 1700+80=17801700 + 80 = 1780 points.) What was Zelda’s average score in points over the 66 days?

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Solution

Apply the daily changes +80,90,10,+60,40+80, -90, -10, +60, -40 to the starting 1700.1700. The six scores are 1700,1780,1690,1700, 1780, 1690, 1680,1740,1700.1680, 1740, 1700. They add to 10290,10290, so the average is 102906=1715.\frac{10290}{6} = 1715. Therefore, the answer is E.

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Concepts: data and graph interpretation · mean

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.