Question

the hourly wages of a sample of 23 employees of a textile company are summarized in the table below. number of employees 8,6,9 hourly wage(in dollars) 7.50,7.75,9.75 find the mean hourly wage of these 23 employees. Round your answer to at least two decimal places.

Answer 1

$7.77

1) Gathering the data

23 employees

Number of employees | Hourly Wage

8 $ 7.5

6 $7.75

9 $9.75

2) Since we have employees with different hourly wages, then we have to calculate the mean of those 23 workers taking that into account. In other words, we have to use the weighted arithmetic mean for that:

`\begin{gathered} x=((8*7.5)+(6*7.75)+(9*9.75))/((7.5+7.75+9.75)) \\ x=(60+46.5+87.75)/(25) \\ x=(194.25)/(25) \\ x=7.77 \end{gathered}`

3) So the mean of the hourly wages for those 23 employees is $7.77