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

a)$Range=5$

b)$samples\tan darddeviation=2.65$

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. Sample standard deviation  of the data.   

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