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.

 p-968