Suppose x is a uniform random variable with c = 20 and d = 80. Find the standard deviation of x.
A) $\sigma = 2.24$
B) $\sigma = 17.32$
C) $\sigma = 28.87$
D) $\sigma = 2.89$

Question

Suppose x is a uniform random variable with c = 20 and d = 80. Find the standard deviation of x. 
A) $\sigma = 2.24$
B) $\sigma = 17.32$
C) $\sigma = 28.87$
D) $\sigma = 2.89$

Quizplus · Accepted Answer

The standard deviation $\sigma$ of a uniform distribution can be calculated using the formula $\sigma = \frac{d - c}{\sqrt{12}}$, where $d$ and $c$ are the maximum and minimum values of the distribution, respectively. Substituting $d = 80$ and $c = 20$ into the formula gives $\sigma = \frac{80 - 20}{\sqrt{12}} = \frac{60}{\sqrt{12}} = 17.32$.

Suppose X Is a Uniform Random Variable with C = σ=2.24\sigma = 2.24σ=2.24

Suppose X Is a Uniform Random Variable with C = $\sigma = 2.24$