Complete the following statements: a. If a constant is added to each data value, then the variance of the modi fi ed data is equal to _________, the standard deviation of the modi fied data set is...

Complete the following statements: a. If a constant is added to each data value, then the variance of the modi fi ed data is equal to _________, the standard deviation of the modi

fied data set is equal to _________, and the range of the modi fi ed data set is equal to ________.

b. If each data value is multiplied by a constant, then the variance of the modi fi ed data is equal to the initial variance ____________, the standard deviation of the modi fi ed data is equal to the initial standard deviation ____________, and the range of the modi fi ed data set is equal to the initial range _________________.

c. If the last value in a data set is replaced by a smaller value, the variance of the modi fi ed data is ______________________________, the standard deviation of the modi fi ed data is __________, and the range of the modi fi ed data set is _________________.