How does the mean of the data set below change if each value is increased by 8?

Suppose our data set is:

2,4,6,8

the mean of the above data is:

(2+4+6+8) / 4=20/4=5

Increasing the above value by 8

10,12,14,16

the mean will be:

(10+12+14+16) / 4

=52/4

=13

The difference in the two mean values i

13-5=8

Thus we conclude that if we increase our values by 8, the mean increases by 8