Sure, let's work through finding the mean of the given data step-by-step.
The data we have is:
[tex]\[ 7, 16, 12, 7, 19, 5, 12, 18 \][/tex]
Step 1: Calculate the sum of all the numbers.
[tex]\[
7 + 16 + 12 + 7 + 19 + 5 + 12 + 18 = 96
\][/tex]
Step 2: Count the number of data points.
[tex]\[
There are 8 numbers in the dataset.
Step 3: Calculate the mean by dividing the sum of all numbers by the number of data points.
\[
\text{Mean} = \frac{\text{Sum of all data points}}{\text{Number of data points}} = \frac{96}{8} = 12
\][/tex]
Since the mean calculation results in a whole number, there is no need for rounding.
The mean of the data set is:
[tex]\[
12.0
\][/tex]
Therefore, the mean, rounded to two decimal places if necessary, is [tex]\( 12.0 \)[/tex].
