In a certain company, human resources has the following data on employees: Division Average Annual Salary...
In a certain company, human resources has the following data on employees:
Division Average Annual Salary Number of Employees
A 32,565 78
B 82,844 13
A) Determine the combined average salary of both divisions
B) Suppose that human resources determines that the IQR for salary in division A is exactly 0. What would this mean in the context of salary?
Homework Answers
A)
Combined average salary is given as:
= (Na * 
+ Nb * 
) / (Na + Nb)
= (32565 * 78 + 82844 * 13) / (78 + 13)
= 3617042/91
= 39747.71
B)
If we have IQR = 0 for division A, this means that middle 50% of employees have same salary.
This means that if we arrange the salary of employees of divison A in ascending order, all the employees from 25th Percentile (19th or 20th Employee) till 75th percentile (58th or 59th Employee) have same salary. There is no change in salary of all the employee lying in this range.
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