AMC10 2024 A

AMC10 2024 A · Q12

AMC10 2024 A · Q12. It mainly tests Averages (mean), Arithmetic misc.

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?

Zelda 在 8 月 1 日玩数学冒险游戏，得分 1700 分。她在接下来的 5 天每天继续玩。下方的条形图显示了她每天相对于前一天的分数变化。（例如，Zelda 在 8 月 2 日的分数是 $1700 + 80 = 1780$ 分。）她在 6 天内的平均分数是多少点？

(A) 1700 1700

(B) 1702 1702

(D) 1713 1713

(E) 1715 1715

Answer

Correct choice: (E)

正确答案：（E）

Solution

Going through the table, we see her scores over the six days were: $1700$, $1700+80=1780$, $1780-90=1690$, $1690-10=1680$, $1680+60=1740$, and $1740-40=1700$. Taking the average, we get $\frac{(1700+1780+1690+1680+1740+1700)}{6} = \boxed{\textbf{(E) } 1715}.$

根据表格，她的 6 天分数分别是：$1700$，$1700+80=1780$，$1780-90=1690$，$1690-10=1680$，$1680+60=1740$，以及 $1740-40=1700$。平均值为 $\frac{(1700+1780+1690+1680+1740+1700)}{6} = \boxed{\textbf{(E) } 1715}$。

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