Respuesta :

Given: The set of data shown

To Determine: The value closest to the standard deviation for the set of data shown

Solution

The formula for finding the standard deviation for a set of data is

[tex]\begin{gathered} standard-deviation(\sigma)=\sqrt{\frac{1}{n}\sum_{i\mathop{=}1}^n(x_i-\mu)^2} \\ \mu=mean \\ x_1=individual-values \\ n=total-number-of-values \end{gathered}[/tex]

Let us first determine the mean

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