Answer :
SOLUTION
Write out the data given, we have
[tex]5,57,10,51,34,24,29,28,29,31[/tex]Write out the formula
[tex]\begin{gathered} \\ s^2=\frac{\sum_{i=1}^n\left(x_i-\bar{x}\right)^2}{n-1} \\ \text{Where } \\ s^2=\text{varaince} \\ n=10,\bar{x}=\operatorname{mean}=29.8 \end{gathered}[/tex]Hence
[tex]\text{sum of squares=}2253.6[/tex]Hence, Sample variance will be
[tex]s^2=\frac{ss}{n-1}=\frac{2253.6}{10-1}=\frac{2252.6}{9}=250.4[/tex]The sample variance is 250. 4
The standard deviation is the square root of the variance
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