What is the mean of the following numbers: 4, 8, 6, 10, 12?

To find the mean of the numbers 4, 8, 6, 10, and 12, you need to follow these steps:

1. Add all the numbers together:

(4 + 8 + 6 + 10 + 12 = 40).

2. Count the total number of values in the set, which in this case is 5.

3. Divide the sum of the numbers by the count of values:

(\frac{40}{5} = 8).

Therefore, the mean of these numbers is 8. This result is achieved by accurately summing the values and dividing by the correct count, leading to the conclusion that the average of this particular set of numbers is precisely 8.