Amy's grade was the 90th percentile of the 80 grades for her class. Of the 100 grades from another class, 19 were higher than Amy's, and the rest were lower. If no other grade was the same as Amy's grade, then Amy's grade was what percentile of the grades of the two classes combined?
72nd
80th
81st
85th
92nd
成绩比amy低的人数是80*90%=72,另外一个班19个比他高,81个比他低,加在一起比amy分低的人数是72+81=153
percentile=153/180约等85%
Amy's grade is 90th percentile, meaning that she outperformed 90% of her classmates. That means that she outperformed 72 of her classmates.
She also outperformed 81 of the students in the other class (note: not 80, because Amy herself is not in the other class).
This means that she outperformed 72 + 81 = 153 of the combined 180 students in the two classes.
Since 153/180 = 0.85, she outperformed 85% of the students in the combined pool, putting her in the overall 85th percentile.
Combined with another class, there are 19+8=27 people’s grades ahead of Amy’s.
# of people whose grades below Amy’s / total people of twp class → (100+80-27)/(100+80)=85%
在A班级,自己排72th,前面有8人后面有71人,总共是80人;B班级,前面有19人,后面有81人,总共100人(Amy不在这一百人里)
加起来前面有27人,后面有152人,自己排第153,percentile=1-27/180=153/180=85%