The cube of average of 3 and 7 will also be the average of the of the cubes of 3 and 7.
False
The average of 3 and 7 is 5. The cube of 5 is 125. The cube of 3 and 7 is 27 and 343 respectively. The average of 27 and 343 is 185 which is not the cube of 5.