Question 13
Five students took a quiz with a maximum score of 50. The scores of four of the students were 42, 43, 46, and 49. The score of the fifth student was N. The average of the five students’ scores was the same as the 3rd highest score. Find the number of values of N which are possible.
A. 3
B. 4
C. 1
D. 0
E. None of the above
**Editorial note for this self-study exercise:** A score lies between 0 and 50 inclusive. Rank all five scores, counting equal scores separately; the third highest is the middle score. Count distinct possible N values. The result does not require an integer-score assumption.
A. 3
B. 4
C. 1
D. 0
E. None of the above
**Editorial note for this self-study exercise:** A score lies between 0 and 50 inclusive. Rank all five scores, counting equal scores separately; the third highest is the middle score. Count distinct possible N values. The result does not require an integer-score assumption.