2024 AMC 10A 第 12 题

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12.

Zelda 在八月一日玩 Adventures of Math 游戏并得了 17001700 分。接下来的 55 天她每天都继续玩。下方柱状图显示了每天得分相比前一天的变化量。例如,Zelda 在八月二日的得分是 1700+80=17801700 + 80 = 1780 分。Zelda 在这 66 天中的平均得分是多少?

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

答案:E
知识点:数据与图表解读平均数
难度评级:1290
解答:

17001700 开始依次应用每日变化 +80,90,10,+60,40+80, -90, -10, +60, -40。六天得分为 1700,1780,16901700, 1780, 16901680,1740,17001680, 1740, 1700。总和为 1029010290,平均分为 10290/6=171510290 / 6 = 1715。所以正确答案是 E

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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