# Finding Mean, Median, Mode in Python without libraries

## Finding Mean, Median, Mode in Python without libraries

In this article, we will learn how to calculate Mean, Median, and Mode with Python without using external libraries.

1. Mean : The mean is the average of all numbers and is sometimes called the arithmetic mean. This code calculates Mean or Average of a list containing numbers:
 `# Python program to print` `# mean of elements` ` ` `# list of elements to calculate mean` `n_num ``=` `[``1``, ``2``, ``3``, ``4``, ``5``]` `n ``=` `len``(n_num)` ` ` `get_sum ``=` `sum``(n_num)` `mean ``=` `get_sum ``/` `n` ` ` `print``(``"Mean / Average is: "` `+` `str``(mean))`

Output:

```Mean / Average is: 3.0
```

We define a list of numbers and calculate the length of the list. We then use sum() function to get sum of all the elements in a list. We finally divide the total sum by the number of elements in the list and we print the result to get the mean/average of a list.

2. Median : The median is the middle number in a group of numbers. This code calculates Median of a list containing numbers:
 `# Python program to print` `# median of elements` ` ` `# list of elements to calculate median` `n_num ``=` `[``1``, ``2``, ``3``, ``4``, ``5``]` `n ``=` `len``(n_num)` `n_num.sort()` ` ` `if` `n ``%` `2` `=``=` `0``:` `    ``median1 ``=` `n_num[n``/``/``2``]` `    ``median2 ``=` `n_num[n``/``/``2` `-` `1``]` `    ``median ``=` `(median1 ``+` `median2)``/``2` `else``:` `    ``median ``=` `n_num[n``/``/``2``]` `print``(``"Median is: "` `+` `str``(median))`

Output:

```Median is: 3
```

We define a list of numbers and calculate the length of the list. To find a median, we first sort the list in Ascending order using sort() function.
Now we check if the number is even or odd by checking their remainders. If the number is even, we find 2 middle elements in a list and get their average to print it out. But if the number is odd, we find the middle element in a list and print it out.

3. Mode : The mode is the number that occurs most often within a set of numbers. This code calculates Mode of a list containing numbers:
 `# Python program to print` `# mode of elements` `from` `collections ``import` `Counter` ` ` `# list of elements to calculate mode` `n_num ``=` `[``1``, ``2``, ``3``, ``4``, ``5``, ``5``]` `n ``=` `len``(n_num)` ` ` `data ``=` `Counter(n_num)` `get_mode ``=` `dict``(data)` `mode ``=` `[k ``for` `k, v ``in` `get_mode.items() ``if` `v ``=``=` `max``(``list``(data.values()))]` ` ` `if` `len``(mode) ``=``=` `n:` `    ``get_mode ``=` `"No mode found"` `else``:` `    ``get_mode ``=` `"Mode is / are: "` `+` `', '``.join(``map``(``str``, mode))` `     ` `print``(get_mode)`

Output:

```Mode is / are: 5
```

We will import Counter from collections library which is a built-in module in Python 2 and 3. This module will help us count duplicate elements in a list.
We define a list of numbers and calculate the length of the list. We then call Counter (a dict subclass) which helps to count hashable objects, and we then convert it to dict object. We then initialize a list with a For Loop to compare all the dict values (Number of elements) to the max of all dict values (count of most occurring element) and it returns all the elements equal to max count. If the elements returned are equal to the number of total elements in a list then we print out ‘No mode’, else we print out the modes returned.

Another simple approach to find mode with simple coding

 `# The list for which you need to find ` `# the Mode` `y``=` `[``11``, ``8``, ``8``, ``3``, ``4``, ``4``, ``5``, ``6``, ``6``, ``6``, ``7``, ``8``]` ` ` `# First you sort it` `# You will get numbers arranged from 3 to ` `# 11 in asc order` `y.sort() ` ` ` `# Now open an empty list.` `# What you are going to do is to count` `# the occurrence of each number and append` `# (or to add your findings to) L1` `L1``=``[]` ` ` `# You can iterate through the sorted list` `# of numbers in y,` `# counting the occurrence of each number,` `# using the following code` ` ` `i ``=` `0` `while` `i < ``len``(y) :` `    ``L1.append(y.count(y[i]))` `    ``i ``+``=` `1` ` ` `# your L1 will be [1, 2, 2, 1, 3, 3, 3, 1, 3, 3, 3, 1], ` `# the occurrences for each number in sorted y` ` ` `# now you can create a custom dictionary d1 for k : V` `# where k = your values in sorted y ` `# and v = the occurrences of each value in y` ` ` `# the Code is as follows` ` ` `d1 ``=` `dict``(``zip``(y, L1))` ` ` `# your d1 will be {3: 1, 4: 2, 5: 1, 6: 3, 7: 1, 8: 3, 11: 1}` `# now what you need to do is to filter ` `# the k values with the highest v values.` `# do this with the following code` ` ` `d2``=``{k ``for` `(k,v) ``in` `d1.items() ``if` `v ``=``=` `max``(L1) }` ` ` `print``(``"Mode(s) is/are :"` `+` `str``(d2))`

Output:

`Mode(s) is/are :{8, 6}`

Conclusion
We have successfully calculated mean, median, and mode of a dataset but you might be thinking ‘Will I be using these algorithms every time I want to get mean, median and mode of a dataset?’

The answer is you can but you certainly won’t. This was just to show you how the algorithm works behind the scenes when finding out any of these.
For any projects, this can be achieved by simply importing an inbuilt library ‘statistics’ in Python 3, and using the inbuilt functions mean(), median() and mode(). Also, there are other external libraries that can help you achieve the same results in just 1 line of code as the code is pre-written in those libraries.

Last Updated on October 29, 2021 by admin

## Python String join() MethodPython String join() Method

Python String join() Method Python String join() method is a string method and returns a

## Find frequency of each word in a string in PythonFind frequency of each word in a string in Python

Find frequency of each word in a string in Python Write a python code to

## Python – Pandas Series.to_frame()Python – Pandas Series.to_frame()

Pandas Series.to_frame()   Pandas series is a One-dimensional ndarray with axis labels. The labels need

## Python – Move or Copy Files and DirectoriesPython – Move or Copy Files and Directories

Python | Move or Copy Files and Directories Let’s say we want to copy or

## Ways to increment Iterator from inside the For loop in PythonWays to increment Iterator from inside the For loop in Python

Ways to  Iterator from inside the For loop in Python For loops, in general, are

## How to concatenate two lists in PythonHow to concatenate two lists in Python

Ways to concatenate two lists in Python Let’s see how to concatenate two lists using

## Apply uppercase to a column in Pandas dataframeApply uppercase to a column in Pandas dataframe

Apply uppercase to a column in Pandas dataframe   Analyzing a real world data is

## How to remove an item from the List in Python?How to remove an item from the List in Python?

How to remove an item from the List in Python? Python Lists consists of various