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the hourly wages of a sample of 33 employees of a furniture company are…

Question

the hourly wages of a sample of 33 employees of a furniture company are summarized in the table below. number of employees hourly wage (in dollars) 3 7.50 13 9.00 5 9.50 12 11.25 find the mean hourly wage of these 33 employees. round your answer to at least two decimal places.

Explanation:

Step1: Calculate the total wage for each group

Multiply number of employees by hourly - wage for each row.
For the first row: $3\times7.50 = 22.5$
For the second row: $13\times9.00=117$
For the third row: $5\times9.50 = 47.5$
For the fourth row: $12\times11.25=135$

Step2: Calculate the sum of total wages

$22.5 + 117+47.5 + 135=322$

Step3: Calculate the mean

Divide the sum of total wages by the total number of employees.
The total number of employees is $33$.
The mean $\bar{x}=\frac{322}{33}\approx9.76$

Answer:

$9.76$