Final answer:
The mean would increase and the median would stay about the same.
Step-by-step explanation:
The mean would increase and the median would stay about the same.
When the athlete's score of 67 is added to the distribution, it would shift the mean upward because the new score is higher than the original mean of 62. However, since the median is the middle value in the data set, it is not affected by extreme values like the mean. Therefore, the median would stay about the same.