A data set contains 10 numbers. The mean of the data set is and the median is . If an number, which is significantly larger than any other number in the original data set, is added, which of the following statements is true?
The new mean will be significantly greater than , and the new median will be significantly greater than .
The new mean will be significantly greater than , but the new median will not necessarily be significantly greater than .
The new mean will not necessarily be significantly greater than , but the new median will be significantly greater than .
Neither the new mean nor the new median will necessarily be significantly greater than their original values.
