Final answer:
To find 8 numbers with a range of 10 and a mean of 5, we can start with 0 and 10, and then add a constant value to each number to maintain the same difference and mean.
Step-by-step explanation:
To find 8 numbers with a range of 10 and a mean of 5, we can use a formula:
Range = Largest Value - Smallest Value
In this case, the range is 10, and the mean is 5. So we can set up the following equation:
10 = Largest Value - Smallest Value
Now, we need to find 2 numbers that differ by 10 and have a mean of 5. One possible solution is 0 and 10, since their difference is 10 and their mean is 5. To get the other 6 numbers, we can add a constant value to each of these numbers. For example, if we add 1 to both 0 and 10, we get 1 and 11. By adding the same constant value to each number, we maintain the same difference and mean.
So, the 8 numbers with a range of 10 and a mean of 5 can be:
0, 1, 2, 3, 4, 5, 6, 7