Как использовать Python для статистики и исчисления: изучаем мастер-класс

[

Workshop: The Statistics and Calculus with Python Workshop

Introduction

In this workshop, we will explore the fundamentals of statistics and calculus using Python. We will provide you with detailed, step-by-step instructions, along with executable sample codes to help you gain a practical understanding of these topics.

Getting Started

Before we dive into the exciting world of statistics and calculus with Python, there are a few prerequisites you need to fulfill:

Install Python: If you haven’t installed Python on your machine, head over to the Python website and download the latest version suitable for your operating system. Follow the installation instructions provided.
Install Python libraries: To perform statistical and calculus calculations with Python, we will need a few additional libraries. Open your command prompt or terminal and run the following commands to install them:
- To install NumPy, a library for numerical computing:
```
pip install numpy
```
- To install SciPy, a library for scientific computation:
```
pip install scipy
```
- To install SymPy, a library for symbolic mathematics:
```
pip install sympy
```

Statistics Basics

Now that you have Python and the necessary libraries installed, let’s start exploring the basics of statistics:

Import the required libraries:

import numpy as np
import scipy.stats as stats

Generating random numbers:

# Generate 100 random numbers from the standard normal distribution
random_numbers = np.random.normal(0, 1, 100)

Descriptive statistics:

# Calculate the mean and standard deviation
mean = np.mean(random_numbers)
std_dev = np.std(random_numbers)

Probability distributions:

# Calculate the probability density function (PDF) of the normal distribution
x = np.linspace(-3, 3, 100)
pdf = stats.norm.pdf(x)

Calculus Basics

Let’s now dive into the world of calculus using Python:

Import the required libraries:
```
import sympy as sp
```
Define a symbolic variable:
```
x = sp.Symbol('x')
```

Differentiation:

# Calculate the derivative of a function
f = x**2 + 3*x + 2
derivative = sp.diff(f, x)

Integration:

# Calculate the definite integral of a function
integral = sp.integrate(f, (x, 0, 1))

Conclusion

Congratulations! You have successfully completed the Statistics and Calculus with Python Workshop. Throughout this workshop, we covered the basics of statistics and calculus, and how to perform various calculations using Python. We encourage you to further explore these topics and experiment with different functions and datasets to expand your understanding. Have fun exploring the world of data analysis with Python!