A data set consists of positive integers. If a new positive integer is added to this data set, which of the following statements must be true?
If is greater than the original mean of the data set, the new mean will be greater than the original mean.
If is less than the original mean of the data set, the new mean will be greater than the original mean.
If is equal to the original mean of the data set, the new mean will be less than the original mean.
The median of the new data set will always be greater than the median of the original data set.
