The average (arithmetic mean) score on a test taken by 10 students was x. If the average score…
We are given that the average score on a test taken by 10 students was x and need to find the average score in terms of x if the average score for 5 of those students was 8.
Thus, the overall sum was 10x and the sum for the 5 students was (5)(8)= 40.
We need to determine the average of the 5 remaining students.
The sum for the 5 remaining students was 10x – 40, and thus the average is:
(10x – 40)/5 = 10x/5 – 40/5 = 2x – 8