XAT 2019 — QA & DI Question 4
A ï¬rm pays its ï¬ve clerks Rs. 15,000 each, three assistants Rs. 40,000 each and its accountant Rs. 66,000. Then the mean salary in the ï¬rm comprising of these nine employees exceeds its median salary by rupees
Answer & solution
- A
14600
14000
- C
15480
- D
15200
- E
14720
To get the median salary, we arrange the salaries of the 9 employees in numerical ascending order.
The salaries when arranged in ascending numerical order will be as follows
15000, 15000, 15000, 15000, 15000, 40000, 40000, 40000, 66000
Now the median of these 9 values will be the middle value i.e., 5th value which is 15,000.
∴ Median = 15000
Mean Salary of these 9 employees = (15000×5 + 40000×3 + 66000)/(5 + 3 + 1) = 29,000
∴ Mean salary exceeds Median Salary by 29000 -15000 = 14000.
Hence, option (b).