The uniform distribution probability is denoted below for a < x < b:
| ƒ(x) = | 1 |
| b - a |
Plugging in our values for a, b, and x, we get:
| ƒ(4) = | 1 |
| 10 - 3 |
| ƒ(4) = | 1 |
| 7 |
Calculate the mean μ
| μ = | a + b |
| 2 |
| μ = | 3 + 10 |
| 2 |
| μ = | 13 |
| 2 |
μ = 6.5
Calculate the median:
The median equals the mean → 6.5Calculate the variance σ2:
| σ2 = | (b - a)2 |
| 12 |
| σ2 = | (10 - 3)2 |
| 12 |
| σ2 = | 72 |
| 12 |
| σ2 = | 49 |
| 12 |
σ2 = 4.0833333333333
Calculate the standard deviation σ
σ = √σ2σ = √4.0833333333333
σ = 2.0207259421637
What is the Answer?
σ = 2.0207259421637
How does the Uniform Distribution Calculator work?
Free Uniform Distribution Calculator - This calculates the following items for a uniform distribution
* Probability Density Function (PDF) ƒ(x)
* Cumulative Distribution Function (CDF) F(x)
* Mean, Variance, and Standard Deviation
Calculates moment number t using the moment generating function
This calculator has 4 inputs.
* Probability Density Function (PDF) ƒ(x)
* Cumulative Distribution Function (CDF) F(x)
* Mean, Variance, and Standard Deviation
Calculates moment number t using the moment generating function
This calculator has 4 inputs.
What 2 formulas are used for the Uniform Distribution Calculator?
μ = ½(a +b)
ƒ(x) = 1 / (b - a)
ƒ(x) = 1 / (b - a)
What 5 concepts are covered in the Uniform Distribution Calculator?
- mean
- A statistical measurement also known as the average
- moment
- a function are quantitative measures related to the shape of the functions graph
- standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- uniform distribution
- Statistical distribution with constant probability
M = 1/(b - a) - variance
- How far a set of random numbers are spead out from the mean
