A data set of distinct positive integers has a mean and a median . If the largest value in the data set is replaced by a new value that is significantly smaller than the original largest value but still greater than the median, which of the following statements is most likely to be true about the new mean and median?
The mean will decrease significantly, and the median will remain the same.
The mean will decrease significantly, and the median will increase significantly.
The mean will increase significantly, and the median will decrease slightly or stay the same.
Both the mean and the median will remain unchanged.
