Uniform Distribution

 

Sometimes, there is not enough information available to determine the use of a particular standard distribution. From the empirical experience, one can have some guideline of the lower and upper bounds of a random variable, but there may not be enough data available between these two bounds to justify a specific distribution. In this situation, a uniform distribution is widely used even though any distribution can be used such as triangular, trapezoidal and uniform, etc. Figure 1 shows a uniform distribution with two limits  and .

 

Figure 1  Uniform distribution

 

Then, the mean and the coefficient of variance are specified as

 and