ANSWER:
The sample standard deviation is 29.3
The sample variance is 859.2
STEP-BY-STEP EXPLANATION:
We have the following data set:
[tex]77,\:68,\:32,\:26,\:47,\:6,\:34,\:99,\:27,\:15,\:72[/tex]
To determine the sample standard deviation and the sample variance we must first calculate the mean of the data, like so:
[tex]\begin{gathered} \bar{x}=\frac{1}{n}\sum_{i=1}^na_i\: \\ \\ n=11 \\ \\ \sum_{i=1}^na_i=77+68+32+26+47+6+34+99+27+15+72=503 \\ \\ \bar{x}=\frac{1}{11}(503) \\ \\ \bar{x}=45.7 \end{gathered}[/tex]
Now we proceed to calculate the sample standard deviation and the sample variance:
