Question

On each of 8 tests, Gustav scored 2 points higher than Russ. When their average test scores on these 8 tests are compared, how many points higher is Gustav’s average than Russ’s average?"

a) 8
b) 16
c) 2
d) 4

Answer 1

Gustav scored 2 points higher than Russ on each test, but when we calculate the average difference over 8 tests, Gustav's average score is 2 points higher than Russ's average, not the total point difference.

Step-by-step explanation:

In the provided scenario, Gustav scored 2 points higher than Russ on each of 8 tests. To determine how much higher Gustav’s average score is compared to Russ’s average, we calculate the average difference over all the tests. Since Gustav scored 2 points higher on each test, the total difference over 8 tests would be 2 points × 8 tests = 16 points. However, when considering the average, we need to divide this total difference by the number of tests to see how much higher Gustav’s average is compared to Russ’s.

The average difference is therefore 16 points ÷ 8 tests = 2 points. This means that Gustav’s average test score is 2 points higher than Russ’s average. The correct answer to the question is c) 2.