To find the mean of the given data set, follow these steps:
1. List the Data: The given data set is:
[tex]\[
7, 16, 12, 7, 19, 5, 12, 18
\][/tex]
2. Find the Sum of the Data Points: Add up all the numbers in the data set.
[tex]\[
7 + 16 + 12 + 7 + 19 + 5 + 12 + 18 = 96
\][/tex]
3. Count the Number of Data Points: Determine how many numbers are in the data set.
[tex]\[
\text{There are 8 data points.}
\][/tex]
4. Divide the Sum by the Number of Data Points: This will give you the mean.
[tex]\[
\frac{96}{8} = 12
\][/tex]
So, the mean of the data set is 12.00.
Therefore, the mean is:
[tex]\[
\boxed{12.00}
\][/tex]
