# What is the difference between a discrete uniform distribution and a continuous uniform distribution?

##### 1 Answer

One way of knowing **discrete** or **continuous** is that in the case of **discrete** a point will have mass, and in **continuous** a point has no mass.

this is better understood when observing the graphs.

Let us look at the **Discrete** first.

Take a look at its **pmf**

notice how the mass is sitting on the points?

now look at its **cdf**

notice how the values go up in steps, and that the line is not continuous? this also shows how there is mass at the point on the **pmf**

Now we will look at the **Continuous** case

observe its **pdf**

notice how mass is not sitting at a point, but between two points?

and now to look at the **cdf**

here you can see on the **cdf** that the function is continuous, is does not go in steps that that on the discrete case.

I had pulled these images of wikipedia, so here is the reference to the pages, where you could also read up a bit more on the topics.