2024 AMC 10A Problem 12

Below is the professionally curated solution for Problem 12 of the 2024 AMC 10A, 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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Concepts:data and graph interpretation mean

Difficulty rating: 1290

12.

Zelda played the Adventures of Math game on August 1 and scored $1700$ points. She continued to play daily over the next $5$ 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 $1700 + 80 = 1780$ points.) What was Zelda's average score in points over the $6$ days?

$1700$

$1702$

$1703$

$1713$

$1715$

Solution:

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

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