A data set consists of values. A new data set is created by applying a linear transformation to each value in the original data set, specifically by multiplying each value by a positive constant and then adding a constant . Which of the following statements about the statistical measures of the new data set compared to the original data set is true?
The mean will change, but the median and range will remain the same.
The mean and median will change, but the range will remain the same.
The mean, median, and range will all change.
The mean and median will change, and the range will change only if .
