If you add 7 to each entry on a list, that adds 7 to the average

True or false, and explain briefly—

a) If you add 7 to each entry on a list, that adds 7 to the average.
b) If you add 7 to each entry on a list, that adds 7 to the SD.
c) If you double each entry on a list, that doubles the average
d) If you double each entry on a list, that doubles the SD.
e) If you change the sign of each entry on a list, that changes the sign of the average. f) If you change the sign of each entry on a list, that changes the sign of the SD.