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$Based on the following calculator output, determine the inter-quartile range of the dataset. {:[" 1-Var-Stats "],[ bar(x)=239.428571429],[Sigma x=1676],[Sigmax^(2)=406076],[Sx=28.2657457173],[sigma x=26.1689955201],[n=7],[minX=191],[Q_(1)=232],[Med^(2)=237],[Q_(3)=251],[maxX=286]:} Answer:$

Based on the following calculator output, determine the inter-quartile range of the dataset. $\newline$ $\begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=239.428571429 \\ \Sigma x=1676 \\ \Sigma x^{2}=406076 \\ S x=28.2657457173 \\ \sigma x=26.1689955201 \\ n=7 \\ \operatorname{minX}=191 \\ \mathrm{Q}_{1}=232 \\ \mathrm{Med}^{2}=237 \\ \mathrm{Q}_{3}=251 \\ \max \mathrm{X}=286 \end{array}$ $\newline$ Answer:

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Q. Based on the following calculator output, determine the inter-quartile range of the dataset.

\newline

\begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=239.428571429 \\ \Sigma x=1676 \\ \Sigma x^{2}=406076 \\ S x=28.2657457173 \\ \sigma x=26.1689955201 \\ n=7 \\ \operatorname{minX}=191 \\ \mathrm{Q}_{1}=232 \\ \mathrm{Med}^{2}=237 \\ \mathrm{Q}_{3}=251 \\ \max \mathrm{X}=286 \end{array}

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Answer:

Understand IQR Definition: Understand what the inter-quartile range (IQR) is. $\newline$ The IQR is the difference between the third quartile ( $Q_3$ ) and the first quartile ( $Q_1$ ) of a dataset. It measures the spread of the middle $50\%$ of the data.
Identify Q $3$ and Q $1$ : Identify the values of Q $3$ and Q $1$ from the calculator output. $\newline$ According to the output, $Q1$ is $232$ and $Q3$ is $251$ .
Calculate IQR: Calculate the IQR by subtracting $Q1$ from $Q3$ . $\newline$ $IQR = Q3 - Q1$ $\newline$ $IQR = 251 - 232$ $\newline$ $IQR = 19$