Headline

Compute the median of the salaries of all employees

Description

Management would like to know the median of all salaries in a company. This value may be used for decision making during performance interviews, e.g., in the sense that any employee who has shown exceptional performance gets a raise, if the individual salary is well below the current median. Further, the median may also be communicated to employees so that they can understand their individual salary on the salary scale of the company. In practice, medians of more refined groups of employees would be considered, e.g., employees with a certain job role, seniority level, or gender.

Motivation

This feature triggers a very basic statistical computation, i.e., the computation of the median of a list of sorted values. Of course, the median is typically available as a primitive or from a library, but when coded explicitly, it is an exercise in list processing. This feature may also call for reuse such that code is shared with the implementation of Feature:Total because both features operate on the list of all salaries.

Illustration

The following code stems from Contribution:haskellStarter:

-- Median of all salaries in a company
median :: Company -> Salary
median = medianSorted . sort . salaries

First, the salaries are to be extracted from the company. Second, the extracted salaries are to be sorted, where a library function sort is used here. Third, the sorted list of salaries is to be processed to find the median.

-- Extract all salaries in a company
salaries :: Company -> [Salary]
salaries (n, es) = getSalaries es

-- Extract all salaries of lists of employees
getSalaries :: [Employee] -> [Salary]
getSalaries [] = []
getSalaries (e:es) = getSalary e : getSalaries es

-- Extract the salary from an employee
getSalary :: Employee -> Salary
getSalary (_, _, s) = s

-- Median of a sorted list
medianSorted [] = error "Cannot compute median on empty list."
medianSorted [x] = x
medianSorted [x,y] = (x+y)/2
medianSorted l = medianSorted (init (tail l))

Relationships

  • See Feature:Total for another query scenario which also processes the salaries of all employees in a company.

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