A random variable has a

**uniform distribution**when each value of the random variable is equally likely, and values**are uniformly distributed**throughout some interval.**Uniform distributions**can be**discrete or continuous**, but in this section we consider only the**discrete**case.Accordingly, what is the mean of uniform distribution?

DEFINITION of '

**Uniform Distribution**' In statistics, a type of probability**distribution**in which all outcomes are equally likely. A deck of cards has a**uniform distribution**because the likelihood of drawing a heart, a club, a diamond or a spade is equally likely.Is uniformly distributed the same as normally distributed?

**Normal**has a single most likely value,

**uniform**has every allowable value equally likely.

**Uniform**has a piecewise constant density,

**normal**has a continuous bell shaped density.

**Normal distributions**arise from the central limit theorem, uniforms do not.

What is the shape of a uniform distribution?

A continuous random variable has a uniform distribution if its values are spread evenly over the range of probabilities. The graph of a uniform distribution results in a

**rectangular**shape.