Basic statistics using Python

Python comes with a built-in statistics module. This will help us to perform the statistical calculations very easily.

The following are the commonly used statistical functions.

Arithmetic Mean

Arithmetic mean is the average of a group of values. The mathematical equation is

Mean = Sum of group of values / Total number of values in the group

Mean vs Average: What’s the Difference?

Answer: Both are same. No difference

Suppose we have a list of values as shown below.

values = [1,2,3,4,5,6,7,8]

For calculating the mean, without using any built-in function, we have to use the following snippet of the code

values = [1,2,3,4,5,6,7,8]
sum = 0
for value in values:
    sum += value

mean = sum/len(values)
print("Sum -->:", sum)
print("Total Count-->:", len(values))
print("Arithmetic Mean-->:", mean)

The above program involves multiple steps. Instead of writing the entire logic, we can easily calculate the mean using the following code snippet

import statistics
values = [1,2,3,4,5,6,7,8]
print("Arithmetic Mean--> ", statistics.mean(values))

Arithmetic Mode

Arithmetic mode refers to the most frequently occurred value in a data set. Mode can be calculated very easily using the statistics.mode() function

import statistics
values = [1,2,2,2,2,2,2,1,2,3,4,5,2,3,4,5,6,66,6,6,6,6]
print(statistics.mode(values))

Arithmetic Median

Median is basically the mid value in the numerical data set. The median is calculated by ordering the numerical data set from lowest to highest and finding the number in the exact middle. If the count of total numbers in the group is an odd number, the median will be the number which is in the exact middle of the ordered list. If the count of total numbers is an even number, then the median will be the mean of the numbers that reside in the middle of the ordered list.

This can be simply calculated by the statistics.median() function.

import statistics
values = [21,1,2,3,4,5,6,7,8,24,29,50]
print("Arithmetic Median--> ", statistics.median(values))

 

Functions as Objects in Python

Python is very powerful. It is easy to learn. Applications can be developed very quickly using python because of the simplicity.

Everything in python is an object. This includes functions also. Are you aware of the following features of functions in python. I was not aware during my initial few years.

  • Functions can be the elements inside various data structures like lists, dictionaries etc.

Few examples

Function as argument to another function

A Sample program in python to explain the implementation of using function as an argument of another function is given below.

Functions as elements within data structures like list or dict()

A simple implementation of passing list of functions as argument to another function is shared below.

I hope this will help someone. 🙂