Finn throws a six-sided, unbiased dice five times, and notes the scores. She then picks four of the scores, finds their mean, and finishes the calculation by adding the fifth score. She does the calculation again, for every possible group of four scores that she could choose. The values she gets are: 6.5, 7.25, 8, 8.75 and 9.5.

What were her original five scores?