Question

In Exercises $3.65-3.70$, we have provided simple data sets for you to practice the basics of finding measures of variation . For each data set determine.

a) Range.

b) sample standard deviation.

$4,0,5$

Short answer

$$\begin{gathered} a)Range=5 \\ b)Samples\tan darddevitation=2.65 \end{gathered}$$

Step-by-step solution

Step 1. Given information. 

We have given data :$4,0,5$

Step 2. Range of the data.  

$$\begin{gathered} Range=Max.value-Min.value \\ Range=5-0 \\ Range=5 \end{gathered}$$

Step 3. Standard deviation of the data

$$\begin{gathered} s=\sqrt{\frac{{\displaystyle \sum _{}}{(x-\overline{x})}^2}{n-1}} \\ =\sqrt{\frac{{\left(4-3\right)}^2+{\left(0-3\right)}^2+{\left(5-3\right)}^2}{3-1}} \\ =2.65 \end{gathered}$$