The mean of our dataset is given by the sum of all values divided by the amount of elements. We have 41 employees, which is the total amount of elements in our dataset, and the values repeat themselves. 7 employees earn $7.50, therefore, we need to add this value 7 times to calculate the mean. The same logic applies to the other values.
Therefore, our mean is:
[tex]\begin{gathered} \mu=\frac{7\times7.50+7\times8.50+12\times9.50+15\times12.00}{41} \\ \\ \mu=9.90243902...\approx9.90 \end{gathered}[/tex]
The mean hourly wage is $9.90.
