We read your photo as:
Extract the given data for each firm.
ScanSolve AI Answer
Step-by-step solution
6 stepsHere's the solution to the problem:
a) To determine which firm has greater variability in individual wages, we compare their coefficients of variation (CV). The coefficient of variation measures relative variability and is calculated as , where is the standard deviation and is the average wage.
Extract the given data for each firm.
For Firm A:
Number of employees () = 100
Average wage () = Rs 3200
Variance () = 625For Firm B:
Number of employees () = 150
Average wage () = Rs 2800
Variance () = 729Calculate the standard deviation () for each firm.
Standard deviation is the square root of the variance.
For Firm A:For Firm B:
Calculate the coefficient of variation (CV) for each firm.
For Firm A:
For Firm B:
Compare the coefficients of variation.
Since is greater than , Firm B has greater variability in individual wages.
b) To calculate the average monthly wage and the variance of wages of all workers from both firms combined.
Calculate the combined average monthly wage ().
The formula for the combined mean is:
Substitute the values:
The combined average monthly wage is Rs 2960.
Calculate the combined variance ().
The formula for combined variance is:
where and .
First, calculate the differences ( and ):
Next, calculate the squared differences ( and ):
Now, substitute these values into the combined variance formula:
The combined variance of wages is 39087.4.
a) Firm with greater variability:
b) Combined average monthly wage:
Combined variance of wages:
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
More English Questions

Handwritten Step-by-Step Solution
Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.
Try on WhatsApp