#### Uniform Distribution definition, formula and applications

## Uniform Distribution

### Properties

- The mean of uniform distribution is .
- The median of uniform distribution is .
- The variance of uniform distribution is (b-a)∧2/12.
- The mode of uniform distribution is any value of.
- The skewness
- The kurtosis of uniform distribution is .

### Special characteristics of Uniform distribution

- The probability of this distribution is same for equal intervals in any part of the distribution.
- The probability of uniform distribution depends on the length of the intervals, not on its position.
- The pdf of the uniform distribution over the interval [0,1] is defined by f(x)=1.
- Moreover, uniform distribution can be defined in a infinite number of ways.