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Get access to the detailed solutions to the previous years questions asked in IIM IPMAT exam
Total number of employees = 32 + 28 + 43 + 39 + 35 + 29 + 23 + 16
= 245
Median age of all these employees = age of the employee at the middle most position when all the employees are arranged in ascending/ descending order of their age.
Middle position will be (245 + 1)/2 = 123
∴ The age of employee whose position is 123rd.
Adding, number of employees of companies A, B and C = 32 + 28 + 43 = 103.
To reach 123rd position, we need to add 20 employees of company D.
We know, the age of 20th employee of company D = median age of the employees of the company D = 45 years. (Here, 20th position will be the middle most position when all 39 employees are arranged in ascending / descending order of their age)
Therefore, median age of an employee across all eight companies = 45 years