Register today for our Generative AI Foundations course. Use code GenAI99 for a discount price of $99!
Skip to content

Uniform Distribution

Uniform Distribution:

The uniform distribution describes probabilistic properties of a continuous random variable Math image that is equally likely to take any value within an interval Math image , and never takes on values outside this interval.

The uniform distribution is characterised by two parameters – the lower and the upper boundaries of the interval ( Math image and Math image in our example).

Mathematically, the uniform distribution is described by its probability density Math image described by the following expression:

The uniform distribution describes, for example, the distribution of errors arising after rounding floating point numbers up to the nearest integer, e.g. in course of analog-to-digit conversion taking place whenever a physical entity, like an image or sound signal, is converted to a digital form.

The uniform distribution is widely used in generation of pseudo-random numbers .

Browse Other Glossary Entries

Test Yourself

Planning on taking an introductory statistics course, but not sure if you need to start at the beginning? Review the course description for each of our introductory statistics courses and estimate which best matches your level, then take the self test for that course. If you get all or almost all the questions correct, move on and take the next test.

Data Analytics

Considering becoming adata scientist, customer analyst or our data science certificate program?

Analytics Quiz

Advanced Statistics Quiz

Statistics Quiz

Statistics

Looking at statistics for graduate programs or to enhance your foundational knowledge?

Statistics 1 Quiz

Regression Quiz

Regression Quiz

Biostatistics

Entering the biostatistics field? Test your skill here.

Biostatistics Quiz

Advanced Statistics Quiz

Statistics 2 Quiz

Stay Informed

Our Blog

Read up on our latest blogs

Certificates

Learn about our certificate programs

Courses

Find the right course for you

Contact Us

We'd love to answer your questions

Our mentors and academic advisors are standing by to help guide you towards the courses or program that makes the most sense for you and your goals.

300 W Main St STE 301, Charlottesville, VA 22903

(434) 973-7673

ourcourses@statistics.com

By submitting your information, you agree to receive email communications from Statistics.com. All information submitted is subject to our privacy policy. You may opt out of receiving communications at any time.