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The sample standard deviation of a set of numbers is calculated below. Fill in the blank for the missing part of this calculation.

The sample standard deviation of a set of numbers is calculated below. Fill in the-example-1
User Gracenotes
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The table given shows the calculation of the variance and standard deviation of a given sample.

The formula for the variance is given as shown below;


\begin{gathered} S^2=(\Sigma(x_i-\mu)^2)/(n-1) \\ \text{Where;} \\ S^2=S\tan dard\text{ deviation} \\ \Sigma=Summation(addition) \\ x_i=value\text{ from observed data} \\ \mu=\operatorname{mean}\text{ from the observed data} \\ n=\text{sample size} \end{gathered}

When we substitute for the values given, this becomes;


\begin{gathered} S^2=(\Sigma(x_i-\mu)^2)/(6-1) \\ S^2=(361+196+4+36+9+16)/(5) \\ S^2=(622)/(5) \\ S^2=124.4 \end{gathered}

Therefore, the missing value is 622.

This is the addition of each observed data minus the mean (that is, the addition of the third column).

User Melquan
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