[Mathematics | Probability | Statistics | Distribution] The variance of a set of numbers is the measure of how spread out they are. A variance of zero indicates that there is no variance which means all of the values are the same. Variance can never be represented with a negative number. The higher the variance the more spread out the values in the data set are.

Discrete uniform distribution is a probability distribution whereby a finite number of values have the same probability to occur. 

Variables:

`n` = Sample Size

Equations:

`(n^2-1)/12`

Notes

The discrete uniform distribution has a finite number of values, all of which are equally likely to occur.  All n values have equal probability of occurring thus each value's individual probability is 1/n.

The n values are "known" and equally likely to happen, like rolling a dice where six equally probably numbers may turn-up.