Uniform Distribution Calculator

The uniform distribution calculator determines the probability between lower and upper values of interest.

Lower Bound (a):

Upper Bound (b):

Lower Value of Interest (x₁):

Upper Value of Interest (x₂):

Probability (x₁ ≤ X ≤ x₂):

Mean (μ):

Median (M):

Variance (σ²):

Standard Deviation (σ):

How to Use the Uniform Distribution Calculator?

First, input the lower and upper bound values.
Input the lower and upper values of interest.
Press the 'Calculate' button.
The tool computes and shows the probability P(x₁ ≤ X ≤ x₂) of the uniform distribution. In addition, it returns the mean, median, variance, and standard deviation results.

How to Calculate?

The probability between x₁ and x₂ for the uniform distribution is calculated using the following formula:

						
									P(x1 ≤ X ≤ x2) =  
									(x2 - x1)
(b - a)

The mean, median, variance, and standard deviation are calculated using the following formulas:

						
									Mean (μ) =  
									a + b
2

									Median =  
									a + b
2

									Variance (σ2) =  
									(b - a)2
12

									Standard Deviation (σ) =  
									√σ2

Where,
a = Lower or Minimum Possible Value,
b = Upper or Maximum Possible Value,
x₁ = Lower Value of Interest,
x₂ = Upper Value of Interest.

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