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Q33: Ateachergavethesametesttothreehistoryclasses:A, B, and C. The average (arithmetic mean) scores for thethree classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took thetest was 4 to 6 to 5, respectively. What was the average score for thethree classes combined?
A. 74 B. 75 C. 76 D. 77 E. 78 是B 前人說這樣解: 65*4+80*6+77*5=260+480+385=1125 1125/(4+6+5)=75 但平均=總數除以總個數 4 5 6 是比例 並非個數 怎麼可以用比例代替正確的個數值求答案呢? 例如 總值=80個數比=2:3 80除以(2+3)=16 但事實上個數確切值為20、30 80除以(20+30)=1.8 兩者求出的答案根本不同 這也是我說的總個數要是確切的值 不可用總個數的比例去算平均值呀 |
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