Sure, let's go through the steps to find the solution.
1. Identify the data set: The data set provided is 8, 14, 12, 9, and 16.
2. Calculate the mean:
- First, we sum up all the numbers in the data set.
[tex]\[
8 + 14 + 12 + 9 + 16 = 59
\][/tex]
- Next, we divide the total by the number of data points. Since there are 5 numbers in the data set, we divide by 5.
[tex]\[
\frac{59}{5} = 11.8
\][/tex]
3. Round the mean to the nearest tenth:
- The calculated mean is already 11.8, which is expressed to the nearest tenth.
4. Determine the closest answer choice:
- The value 11.8 directly matches one of the given choices.
Therefore, the correct answer is:
C. 11.8
