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#### Overview of this book

Are you looking to start developing artificial intelligence applications? Do you need a refresher on key mathematical concepts? Full of engaging practical exercises, The Statistics and Calculus with Python Workshop will show you how to apply your understanding of advanced mathematics in the context of Python. The book begins by giving you a high-level overview of the libraries you'll use while performing statistics with Python. As you progress, you'll perform various mathematical tasks using the Python programming language, such as solving algebraic functions with Python starting with basic functions, and then working through transformations and solving equations. Later chapters in the book will cover statistics and calculus concepts and how to use them to solve problems and gain useful insights. Finally, you'll study differential equations with an emphasis on numerical methods and learn about algorithms that directly calculate values of functions. By the end of this book, you’ll have learned how to apply essential statistics and calculus concepts to develop robust Python applications that solve business challenges.
Preface
1. Fundamentals of Python
Free Chapter
2. Python's Main Tools for Statistics
3. Python's Statistical Toolbox
4. Functions and Algebra with Python
5. More Mathematics with Python
6. Matrices and Markov Chains with Python
7. Doing Basic Statistics with Python
8. Foundational Probability Concepts and Their Applications
9. Intermediate Statistics with Python
10. Foundational Calculus with Python
11. More Calculus with Python
12. Intermediate Calculus with Python

# Calculating and Using Descriptive Statistics

Descriptive statistics is a set of methods that we use to summarize the information of a set of measurements (data), which helps us to make sense of it. In this section, we will first explain the need for descriptive statistics. After that, we will introduce the most common metrics of descriptive statistics, including mean, median, and standard deviation. First, we will understand them at a conceptual level using a simple set of measurements, and then we will apply what we have learned about them to the dataset we prepared in the previous section.

## The Need for Descriptive Statistics

Why do we need descriptive statistics? Here is an example that will show you why we need these types of analytical tools: our brains are very good at a wide variety of tasks, such as recognizing the emotion expressed in a human face. Try to notice how much effort your brain puts into reading the emotion of the following face:

Figure...