The frequency table summarizes a data set of the scores, rounded to the nearest point, of 61 students on a test.
| Score (points) | Frequency |
|---|---|
| 70 | 10 |
| 75 | 8 |
| 80 | 12 |
| 85 | 15 |
| 90 | 9 |
| 95 | 7 |
A score of 40 points is added to the original data set, creating a new data set of the scores, rounded to the nearest point, of 62 students. Which statement best compares the mean and median of the new data set to the mean and median of the original data set?
The mean of the new data set is greater than the mean of the original data set, and the median of the new data set is greater than the median of the original data set.
The mean of the new data set is greater than the mean of the original data set, and the median of the new data set is equal to the median of the original data set.
The mean of the new data set is less than the mean of the original data set, and the median of the new data set is less than the median of the original data set.
The mean of the new data set is less than the mean of the original data set, and the median of the new data set is equal to the median of the original data set.
