Problem:
Five test scores have a mean (average score) of , a median (middle score) of and a mode (most frequent score) of . The sum of the two lowest test scores is
Answer Choices:
A.
B.
C.
D.
E. not determined by the information given
Solution:
If the mean is , then the sum of all five scores is . Since the median of the five scores is , at least one score must be and two other scores must be greater than or equal to . Since is the mode, there are two scores of . The sum of the remaining scores must equal .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions