To determine which sets of scores the judges could have given the diver, we can calculate the possible total scores based on each set of scores and compare them to the diver's final score of 97.2. The degree of difficulty of the dive is 4.0.
Let's calculate the total scores for each set of scores:
Set: 7.5, 8.0, 8.0, 8.0, 8.0, 8.5, 9.0
Total Score = (7.5 + 8.0 + 8.0 + 8.0 + 8.0 + 8.5 + 9.0) = 57.0
Set: 6.0, 6.5, 6.5, 6.5, 7.0, 7.0, 7.5
Total Score = (6.0 + 6.5 + 6.5 + 6.5 + 7.0 + 7.0 + 7.5) = 47.0
Set: 6.2, 8.0, 8.5, 9.0, 9.0, 9.5, 9.5
Total Score = (6.2 + 8.0 + 8.5 + 9.0 + 9.0 + 9.5 + 9.5) = 60.7
Set: 4.2, 7.5, 8.0, 8.0, 8.5, 8.5, 9.0
Total Score = (4.2 + 7.5 + 8.0 + 8.0 + 8.5 + 8.5 + 9.0) = 54.7
Set: 4.5, 4.5, 5.0, 6.0, 6.5, 6.5, 7.0
Total Score = (4.5 + 4.5 + 5.0 + 6.0 + 6.5 + 6.5 + 7.0) = 40.0
Now, let's compare the total scores to the diver's final score of 97.2:
Total Score = 57.0 (Not a match)
Total Score = 47.0 (Not a match)
Total Score = 60.7 (Not a match)
Total Score = 54.7 (Not a match)
Total Score = 40.0 (Not a match)
None of the sets of scores match the diver's final score of 97.2 exactly. Therefore, based on the given scores, it appears that none of the sets of scores the judges could have given the diver would result in a final score of 97.2 with a degree of difficulty of 4.0.