Step 1
Arrange the data from smallest to biggest
[tex]2,5,14,34,37,40[/tex]
Step 2
The formula for standard deviation for sample is given as;
[tex]\begin{gathered} \sigma=\sqrt{\frac{\sum(x-\mu)^2}{n-1}} \\ \mu=mean \\ n=number\text{ of data} \end{gathered}[/tex]
Find the mean
[tex]mean=\frac{132}{6}=22[/tex]
Hence the standard deviation will be;
[tex]\begin{gathered} \sigma=\sqrt{\frac{1446}{6-1}=}17.005881 \\ \sigma\approx17.01\text{ to 2 decimal places} \end{gathered}[/tex]
Answer; The standard deviation for the sample to two decimal places is;
[tex]17.01[/tex]
