The frequency table summarizes a data set of the scores, rounded to the nearest point, of 71 students on a quiz. A score of 20 points is removed from the original data set, creating a new data set of 70 students. Which statement best compares the mean and median of the new data set to the mean and median of the original data set?
| Score (points) | Frequency |
|---|---|
| 13 | 12 |
| 14 | 8 |
| 15 | 5 |
| 16 | 7 |
| 17 | 9 |
| 18 | 10 |
| 19 | 13 |
| 20 | 7 |
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 medians of the two data sets are equal.
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 medians of the two data sets are equal.
