To find the mean of the given list of numbers \( 2, 4, 5, 6, 6, 7 \), follow these steps:
1. Add all the numbers together: Sum the values in the list.
[tex]\[
2 + 4 + 5 + 6 + 6 + 7 = 30
\][/tex]
2. Count the numbers in the list: Determine how many numbers are present.
[tex]\[
\text{There are 6 numbers in the list.}
\][/tex]
3. Divide the total sum by the count of numbers: Use the sum from step 1 and the count from step 2.
[tex]\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Number of Values}} = \frac{30}{6}
\][/tex]
4. Calculate the result:
[tex]\[
\frac{30}{6} = 5
\][/tex]
Thus, the mean of the list of numbers is [tex]\( 5.0 \)[/tex].