2024 AMC 10A Problem 12

Attempt Problem 12 of the 2024 AMC 10A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2024 AMC 10A solutions, or check the answer key.

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12.

Zelda played the Adventures of Math game on August 1 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 2 was 1700+80=17801700 + 80 = 1780 points.) What was Zelda's average score in points over the 66 days?

17001700

17021702

17031703

17131713

17151715

Answer: E
Concepts:data and graph interpretationmean
Difficulty rating: 1290
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 10290/6=1715.10290 / 6 = 1715. Therefore, the answer is E.

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