Answer:
The new mean of the set of 9 numbers after adding 8 to the set can be calculated as follows:
1. Find the sum of the original set of 8 numbers:
Sum of original set = 8 x 3.5 = 28
2. Add 8 to the sum of the original set:
New sum = 28 + 8 = 36
3. Divide the new sum by the new number of elements in the set (9):
New mean = 36 / 9 = 4
Therefore, the new mean of the set of 9 numbers is 4.