Problem:
The quiz scores of a class with students have a mean of . The mean of a collection of of these quiz scores is . What is the mean of the remaining quiz scores in terms of ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The total number of points earned on all the quizzes is , and the number of points earned on the quizzes is . Therefore the number of points earned on the remaining quizzes is . The mean of the scores of the remaining quizzes is thus
.
The problems on this page are the property of the MAA's American Mathematics Competitions