What positive integer must be included in the set (1, 2, 4, 8) so that the new set of five integers have a median that is equal to its mean

Steps on how to get 5:

1. If you added 5 to the list of numbers, the median would be 4.

1,2,4,5,8

Since 4 is directly in the middle.

2. Now you find the mean

1 + 2 + 4=7

5 + 8 = 13

13 + 7 = 20

3. Now divide 20 by 5

4. Your mean is 4

5. By adding 5 to this list of numbers, you get the same mean and median which is 4