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$Based on the following calculator output, determine the inter-quartile range of the dataset. {:[" 1-Var-Stats "],[ bar(x)=244.857142857],[Sigma x=1714],[Sigmax^(2)=421554],[Sx=17.6486880667],[sigma x=16.3395101468],[n=7],[minX=220],[Q_(1)=232],[Med^(2)=240],[Q_(3)=265],[maxX=269]:} Answer:$

Based on the following calculator output, determine the inter-quartile range of the dataset. $\newline$ $\begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=244.857142857 \\ \Sigma x=1714 \\ \Sigma x^{2}=421554 \\ S x=17.6486880667 \\ \sigma x=16.3395101468 \\ n=7 \\ \operatorname{minX}=220 \\ \mathrm{Q}_{1}=232 \\ \mathrm{Med}^{2}=240 \\ \mathrm{Q}_{3}=265 \\ \operatorname{maxX}=269 \end{array}$ $\newline$ Answer:

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

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\begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=244.857142857 \\ \Sigma x=1714 \\ \Sigma x^{2}=421554 \\ S x=17.6486880667 \\ \sigma x=16.3395101468 \\ n=7 \\ \operatorname{minX}=220 \\ \mathrm{Q}_{1}=232 \\ \mathrm{Med}^{2}=240 \\ \mathrm{Q}_{3}=265 \\ \operatorname{maxX}=269 \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 $1$ and Q $3$ : Identify the first quartile ( extit{Q $1$ }) and the third quartile ( extit{Q $3$ }) from the calculator output. $\newline$ According to the calculator output, extit{Q $1$ } is $232$ and extit{Q $3$ } is $265$ .
Calculate IQR: Calculate the inter-quartile range (IQR) using the values of $Q1$ and $Q3$ . $\newline$ $IQR = Q3 - Q1$ $\newline$ $IQR = 265 - 232$ $\newline$ $IQR = 33$