What is the mean of the following numbers: 4, 8, 6, 5, 7?

To find the mean of a set of numbers, you add all the numbers together and then divide by the total count of the numbers. In this case, you have the numbers 4, 8, 6, 5, and 7.

First, you add these numbers together:

4 + 8 + 6 + 5 + 7 = 30

Next, you count how many numbers there are in total, which is 5. Now, you divide the sum by the count:

30 ÷ 5 = 6

Thus, the mean of the numbers 4, 8, 6, 5, and 7 is 6. This is why the answer is 6, reflecting the average value around which the data set is centered.