 # Advanced Math Find the final form of the median and range for uniform distribution (0,1) for order statistics. geduiwelh 2020-12-31 Answered
Find the final form of the median and range for uniform distribution (0,1) for order statistics.
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Step 1-Introduction
It is required to find the median and range for uniform distribution (0, 1).
Hence, the uniform distribution is $U\left(0,1\right)$ here and $a=0,b=1.$
The formulas for the median and range of the uniform distribution are as follows.
$Median=\frac{a+b}{2}$
Range$=b-a$
Step 2-Calculation
Here, $a=0$ and $b=1$.
The median will be equal to:
$Median=\frac{a+b}{2}$
$=\frac{0+1}{2}$

The range will be equal to:
Range $=b-a$
$=1-0$
$=1$
Hence, the median and range for uniform distribution (0, 1) is 0.5 and 1 respectively.