Combined Arithmetic Mean- Meaning, Examples and Solved Questions

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Combined Arithmetic Mean

Combined arithmetic mean can be computed if we know the means and the numbers of items in two or more related groups.

If there are two groups, then following formula will be applied to compute the combined mean:

Question 1: If average wage of 30 workers of one group is Rs158 and average wage of 40 workers of another group is Rs 162, then find the average wage of both groups.


Question 2: If average salary of 100 employees of one company is Rs275 and average salary of 80 employees of another company is Rs 225, then find the average salary of the employees of both companies.

Question 3: Average height of females in a company is 63 and that of males is 67. The average height for all the employees in the company is 64.5. Find the percentage of males and females in the company.































Question 4: The monthly salary average paid to all 150 employees in a company was Rs. 300. The number of male employees was twice the number of female employees.  Mean salary paid to male employee was Rs. 340. Find the mean salary of a female employee.



































Question 5: There are 100 skilled, 250 semi-skilled and 150 unskilled workers in a factory. It has been observed that on an average a unit length of a fabric is woven by a skilled worker in 3 hours, by a semi-skilled worker in 4 hours and by an unskilled worker in 5 hours. After a training of 2 years, the semi-skilled workers are expected to become skilled and unskilled workers to become semi-skilled. How much less time will be required after 2 years of training for weaving the unit length of fabric by an average worker?

Solution-                             




















After training of two years the new composition of workers are:

Skilled workers= 100+250= 350

Semi-skilled workers= 150

Unskilled workers= 0

Average working time after 2 year of training is:




















Average working time per worker after 2 year of training is 3.3 hours.

Dr. Swati Gupta

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