Uniform Distribution

Also known as a rectangular distribution. The uniform distribution lies between two values on the x-axis. The total area is equal to 1.0 or 100% within the rectangle. There are not any peaks, valleys, or slopes. 

A regular (and fair) six-sided die is a good example because each of the six sides has an equal probability of occurring. Each side has a 1/6 chance of occurring each time. There is replacement each roll. 

The same would apply for a roulette wheel...assuming the wheel is fair. Ignoring the green numbers of 0 and 00 depending on whether the game is American or European, there are 36 numbers. Each of the numbers has the same 1/36 chance of occurring. Again, there is replacement after each spin.

Assume "k" equals the number of different values that can occur and each value has the same chance and that chance remains constant, then P = 1/k.

Uniform Distribution
Uniform Distribution

Example using the Uniform Distribution

Uniform Distribution Example


Search active job openings related to Six Sigma

Templates, Tables, and Calculators

Return to the Six-Sigma-Material Home Page

Site Membership
Click for a Password
to access entire site

Six Sigma
Templates & Calculators

Six Sigma Certifications

Six Sigma Black Belt Certification

Six Sigma Modules

The following presentations are available to download

Click Here

Green Belt Program 1,000+ Slides
Basic Statistics
Process Mapping
Capability Studies
Cause & Effect Matrix
Multivariate Analysis
Central Limit Theorem
Confidence Intervals
Hypothesis Testing
T Tests
1-Way Anova Test
Chi-Square Test
Correlation and Regression
Control Plan