Question

The April Rainfall in Flagstaff, Arizona, follows a Uniform Distribution between 0.5 and 3.00 inches,Mean amount of rainfall for the month: 1.75What is the standard Deviation?

Answer 1

Given:

Uniform Distribution lies between 0.5 and 3.00 inches.

The mean amount of rainfall for the month is 1.75.

Required:

Standard deviation.

Step-by-step explanation:

The standard deviation is given as,

`\begin{gathered} \sigma\text{ = }\sqrt{(\left(b-a\right)^2)/(12)} \\ \\ \end{gathered}`

The standard deviation is calculated as,

`\begin{gathered} \sigma=\sqrt{\frac{\text{\lparen3-0.5\rparen}^2\text{{}}}{\text{12}}} \\ \sigma=\sqrt{(6.25)/(12)} \\ \sigma=√(0.521) \\ \sigma=0.723 \\ \end{gathered}`

Answer:

Thus the standard deviation of the given data set is 0.723.