A teacher was comparing results on two sets of test scores for a group of eleven students. The mean score on the second test was seven points higher than that of the first test. The median grade on both the tests was the same. Determine two sets of test scores that would produce these results.

Answer 1

Just taking some random numbers, let the first set of scores be

66 68 64 65 70 (75) 77 80 82 85 94

Then a second set, with the extra 77 points might be

70 70 71 72 73 (75) 87 89 97 99 100

It's easy to come up with others.