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
percentile=成绩比他低的数/总成绩个数*100%
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%
There's also the brute force method, which doesn't take that much time here.
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.
80*(1-90%) =8 →There are 8 people ahead of Amy in her class
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%
percentile,从小往大数/从后往前数的名次/总数;或1-前面的人数/总数;或(后面的人数+1)/总数
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%
艾米的percentile=艾米在一群人中的名次/这群人的总数,比如这群人有10人,分数从小到大排下,1112334555,艾米4分,那么艾米的 percentile =艾米在一群人中的名次(6)/这群人的总数(10)=60%
the 90th percentile of the 80 grades该怎么理解哇
Percentile是百分比吗