Q 3.65. - Elementary Statistics

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 

$4,0,5$.

Step-by-Step Solution

Answer

a)$Range=5$

b) $sample s\tan dard deviation=2.65$

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.

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