Uniform distribution in SciPy - Mini Project: Build & Apply

Exploring Uniform Distribution with SciPy

📖 Scenario: Imagine you work for a company that wants to understand how to generate random numbers that are equally likely to fall anywhere between two values. This is useful in simulations and games where fairness is important.

🎯 Goal: You will create a simple program to generate random numbers from a uniform distribution using SciPy. You will set the range, generate numbers, and then display the results.

📋 What You'll Learn

Create a uniform distribution with specific lower and upper bounds

Generate random numbers from this distribution

Calculate the mean of the generated numbers

Print the generated numbers and their mean

💡 Why This Matters

🌍 Real World

Uniform distributions are used in simulations, games, and modeling situations where every outcome in a range is equally likely.

💼 Career

Understanding uniform distributions helps in data science roles involving simulations, random sampling, and probabilistic modeling.

1

Create the uniform distribution range

Create two variables called lower_bound and upper_bound with values 10 and 20 respectively.

SciPy

# Your code here

Need a hint?

Use simple assignment to create lower_bound and upper_bound.

2

Set up the uniform distribution object

Import uniform from scipy.stats and create a variable called dist that represents a uniform distribution from lower_bound to upper_bound. Use uniform(loc=lower_bound, scale=upper_bound - lower_bound).

SciPy

lower_bound = 10
upper_bound = 20
# Your code here

Need a hint?

Use uniform(loc=lower_bound, scale=upper_bound - lower_bound) to create the distribution.

3

Generate random numbers from the distribution

Use the rvs method of dist to generate 5 random numbers and store them in a list called random_numbers.

SciPy

from scipy.stats import uniform

lower_bound = 10
upper_bound = 20
dist = uniform(loc=lower_bound, scale=upper_bound - lower_bound)
# Your code here

Need a hint?

Use dist.rvs(size=5) to get 5 random values, then convert to list with tolist().

4

Print the random numbers and their mean

Print the list random_numbers and then print the mean of these numbers using sum(random_numbers) / len(random_numbers).

SciPy

from scipy.stats import uniform

lower_bound = 10
upper_bound = 20
dist = uniform(loc=lower_bound, scale=upper_bound - lower_bound)
random_numbers = dist.rvs(size=5).tolist()
# Your code here

Need a hint?

Use print(random_numbers) and then print(sum(random_numbers) / len(random_numbers)).