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Gufran Hasan · Answer 1 · 2023-11-24T19:29:16+0000

SOLUTION

Write out the data given, we have

Write out the formula

$\begin{gathered} \\ s^2=\frac{\sum_(i=1)^n\left(x_i-\bar{x}\right)^2}{n-1} \\ \text{Where } \\ s^2=\text{varaince} \\ n=10,\bar{x}=\operatorname{mean}=29.8 \end{gathered}$

Hence

$\text{sum of squares=}2253.6$

Hence, Sample variance will be

s^2=(ss)/(n-1)=(2253.6)/(10-1)=(2252.6)/(9)=250.4

The sample variance is 250. 4

The standard deviation is the square root of the variance

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