A data set consists of distinct positive integers arranged in ascending order. The mean of the data set is and the median is . If a new data point, , is added to the set, where is significantly larger than any existing value in the set, which of the following statements must be true?
The new mean will be greater than , and the new median will be greater than .
The new mean will be greater than , and the new median will be equal to .
The new mean will be equal to , and the new median will be greater than .
The new mean will be less than , and the new median will be less than .
