How to Calculate Standard Deviation & Variance in Python

Publicado el: 15 agosto 2024
en el canal de: Ryan & Matt Data Science

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Need to measure how spread out your data is? In this tutorial, you'll learn how to calculate standard deviation and variance in Python using multiple methods—perfect for beginners in data science, statistics, or anyone analyzing numerical datasets.

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In this video, I walk you through how to calculate variance and standard deviation for both population and sample data in Python. We start by covering the theory behind these statistical measures, including the key differences between population calculations (using n) and sample calculations (using n-1). I demonstrate manual calculations step-by-step so you understand exactly what's happening under the hood.

After working through the math manually, I show you how to dramatically simplify these calculations using Python. We explore three different approaches: first doing it manually with basic Python code, then using NumPy's built-in functions (np.var and np.std), and finally leveraging the statistics library. Each method has its advantages, and I explain when you might want to use each one.

The video includes real code examples that you can follow along with, starting from creating your dataset all the way through calculating both variance and standard deviation for population and sample data. By the end, you'll understand not just how to calculate these statistics in Python, but also when to use population versus sample formulas and which Python library is best for your specific use case.

*Keywords:* variance python, standard deviation python, population variance, sample variance, numpy statistics, python statistics tutorial, variance calculation python, data analysis python

TIMESTAMPS
00:00 Introduction & Overview
00:31 Population vs Sample Definition
01:42 Understanding Variance Calculation
03:02 Variance Calculation Example
04:32 Standard Deviation Explained
05:24 Setting Up Python Code
06:27 Example 1: Manual Population Variance
08:15 Manual Population Standard Deviation
09:00 Example 2: Manual Sample Variance
11:05 Using NumPy for Population Calculations
12:40 Example 4: NumPy Sample Calculations
15:09 Example 5: Statistics Library
16:40 Recap and Summary

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Who is Ryan
Ryan is a Data Scientist at a fintech company, where he focuses on fraud prevention in underwriting and risk. Before that, he worked as a Data Analyst at a tax software company. He holds a degree in Electrical Engineering from UCF.

Who is Matt
Matt is the founder of Width.ai, an AI and Machine Learning agency. Before starting his own company, he was a Machine Learning Engineer at Capital One.

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