To find the mean (average) of a set of numbers, follow these steps:
1. Add all the numbers together: First, sum all the given numbers.
[tex]\[
3 + 6 + 4 + 6 + 6 + 1 + 6 + 8
\][/tex]
Calculate the sum:
[tex]\[
3 + 6 = 9
\][/tex]
[tex]\[
9 + 4 = 13
\][/tex]
[tex]\[
13 + 6 = 19
\][/tex]
[tex]\[
19 + 6 = 25
\][/tex]
[tex]\[
25 + 1 = 26
\][/tex]
[tex]\[
26 + 6 = 32
\][/tex]
[tex]\[
32 + 8 = 40
\][/tex]
So, the sum of the numbers is [tex]\(40\)[/tex].
2. Count the number of elements: Next, count how many numbers there are in the set.
We have the numbers [tex]\(3, 6, 4, 6, 6, 1, 6, 8\)[/tex], which total [tex]\(8\)[/tex] numbers.
3. Divide the sum by the number of elements: Finally, divide the sum by the number of elements to find the mean.
[tex]\[
\text{Mean} = \frac{\text{Sum of the numbers}}{\text{Number of elements}} = \frac{40}{8}
\][/tex]
[tex]\[
\text{Mean} = 5.0
\][/tex]
Therefore, the mean of the set of numbers [tex]\(3, 6, 4, 6, 6, 1, 6, 8\)[/tex] is [tex]\(5.0\)[/tex].
