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$Based on the following calculator output, determine the population standard deviation of the dataset, rounding to the nearest 1ooth if necessary. {:[" 1-Var-Stats "],[ bar(x)=170.571428571],[Sigma x=1194],[Sigmax^(2)=210480],[Sx=33.7088373322],[sigma x=31.2083191421],[n=7],[minX=118],[Q_(1)=138],[Med^(2)=183],[Q_(3)=202],[maxX=207]:} Answer:$

Based on the following calculator output, determine the population standard deviation of the dataset, rounding to the nearest $1$ ooth if necessary. $\newline$ $\begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=170.571428571 \\ \Sigma x=1194 \\ \Sigma x^{2}=210480 \\ S x=33.7088373322 \\ \sigma x=31.2083191421 \\ n=7 \\ \operatorname{minX}=118 \\ \mathrm{Q}_{1}=138 \\ \mathrm{Med}^{2}=183 \\ \mathrm{Q}_{3}=202 \\ \max \mathrm{X}=207 \end{array}$ $\newline$ Answer:

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Q. Based on the following calculator output, determine the population standard deviation of the dataset, rounding to the nearest

1

ooth if necessary.

\newline

\begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=170.571428571 \\ \Sigma x=1194 \\ \Sigma x^{2}=210480 \\ S x=33.7088373322 \\ \sigma x=31.2083191421 \\ n=7 \\ \operatorname{minX}=118 \\ \mathrm{Q}_{1}=138 \\ \mathrm{Med}^{2}=183 \\ \mathrm{Q}_{3}=202 \\ \max \mathrm{X}=207 \end{array}

\newline

Answer:

Calculate Standard Deviation: The calculator output provides the value of the population standard deviation directly as ＂ $\sigma x=31.2083191421$ ＂. Since we are asked to round to the nearest hundredth, we will round this value to two decimal places.
Round to Nearest Hundredth: To round to the nearest hundredth, we look at the third decimal place. If it is $5$ or greater, we round up the second decimal place by one. If it is less than $5$ , we leave the second decimal place as it is. The third decimal place in $31.2083191421$ is $8$ , which is greater than $5$ , so we round up the second decimal place from $0$ to $1$ .
Final Standard Deviation: After rounding, the population standard deviation is $31.21$ .