Final answer:
The average of set B, which is created by dividing each number in set A by two, is also divided by two. So, if the average of set A is 8, the average of set B is 4.
Step-by-step explanation:
If the average (arithmetic mean) of the numbers in set A is 8, to find the average of set B, created by dividing each of the numbers in set A by two, we simply divide the average of set A by two. Therefore, the average of the numbers in set B will be 8 divided by 2, which equals 4.
This is because the average of a set of numbers is the sum of the numbers divided by the count of the numbers. When each number in the set is divided by the same value (in this case, 2), the sum of the new set is the sum of the original set divided by 2. Thus, the arithmetic mean of the new set will also be divided by the same value.