Final answer:
The mean score is 76.5 and the median score is 78.5.
Step-by-step explanation:
To find the mean score, we need to add up all the scores and divide by the total number of games. So, 72 + 75 + 85 + 82 + 38 + 107 = 459. There are 6 games, so the mean score is 459/6 = 76.5.
To find the median score, we need to arrange the scores in order from least to greatest: 38, 72, 75, 82, 85, 107. Since there are 6 scores, the median will be the average of the 3rd and 4th score. So, (75 + 82)/2 = 157/2 = 78.5.