Learn how to compute weighted averages in Python either defining your own functions or using NumPy. Learn how to obtain a weighted average in Python using 3 different methods: Function Using List Comprehension, Function Using Zip(), Using Numpy Average() Function
In this brief tutorial, I show how to compute weighted averages in Python either defining your own functions or using NumPy.
Suppose you had to analyze the table below, showing the yearly salary for the employees of a small company divided in five groups (from lower to_ higher _salary):
Image created by the author in Tableau. Mock data has been used.
If you computed the simple average of the
Salary Per Year column you would obtain:
But is £62,000 an accurate representation of the average salary across the groups? Because data comes already aggregated and each group has a different
Employees Number, the average
Salary Per Year for each group weights differently in the overall average. In computing the simple average, the same weight was assigned to each group leading to a biased result.
In this cases, the solution is to take into account the weight of each group by computing a weighted average that can be represented algebraically with the formula:
x represents the distribution (
Salary Per Year ) and
w represents the weight to be assigned (
Employees Number). Given that the table includes five groups, the formula above becomes:
An by replacing
w with actual figures, you should obtain the result below:
Note how taking weights into account, the average
Salary Per Year across the groups is almost £18,000 lower than the one computed with the simple average and this is an accurate way to describe our dataset given the number of employees in each group.
Now that the theory has been covered, let’s see how to obtain a weighted average in Python using 3 different methods. In order to do that, the first step is to import packages and the
employees_salary table itself:
import pandas as pd from numpy import average df = pd.read_csv(‘C:/Users/anbento/Desktop/employee_salary.csv’) df.head() distribution = df[‘salary_p_year’] weights = df[‘employees_number’]
In the programming world, Data types play an important role. Each Variable is stored in different data types and responsible for various functions. Python had two different objects, and They are mutable and immutable objects.
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