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Based on the following calculator output, determine the inter-quartile range of the dataset. {:[" 1-Var-Stats "],[ bar(x)=64.4285714286],[Sigma x=451],[Sigmax^(2)=29415],[Sx=7.72133716522],[sigma x=7.14856914468],[n=7],[minX=54],[Q_(1)=57],[Med^(2)=66],[Q_(3)=73],[maxX=74]:} Answer:

Based on the following calculator output, determine the inter-quartile range of the dataset.\newline 1-Var-Stats xˉ=64.4285714286Σx=451Σx2=29415Sx=7.72133716522σx=7.14856914468n=7minX⁡=54Q1=57Med2=66Q3=73maxX⁡=74 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=64.4285714286 \\ \Sigma x=451 \\ \Sigma x^{2}=29415 \\ S x=7.72133716522 \\ \sigma x=7.14856914468 \\ n=7 \\ \operatorname{minX}=54 \\ \mathrm{Q}_{1}=57 \\ \mathrm{Med}^{2}=66 \\ \mathrm{Q}_{3}=73 \\ \operatorname{maxX}=74 \end{array} \newlineAnswer:

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Q. Based on the following calculator output, determine the inter-quartile range of the dataset.\newline 1-Var-Stats xˉ=64.4285714286Σx=451Σx2=29415Sx=7.72133716522σx=7.14856914468n=7minX⁡=54Q1=57Med2=66Q3=73maxX⁡=74 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=64.4285714286 \\ \Sigma x=451 \\ \Sigma x^{2}=29415 \\ S x=7.72133716522 \\ \sigma x=7.14856914468 \\ n=7 \\ \operatorname{minX}=54 \\ \mathrm{Q}_{1}=57 \\ \mathrm{Med}^{2}=66 \\ \mathrm{Q}_{3}=73 \\ \operatorname{maxX}=74 \end{array} \newlineAnswer:
  1. Identify Quartiles: Identify the first quartile ( extit{Q11}) and the third quartile ( extit{Q33}) from the calculator output.\newlineFrom the output, we have extit{Q11} = 5757 and extit{Q33} = 7373.
  2. Calculate IQR: Calculate the inter-quartile range (IQR). The inter-quartile range is the difference between the third quartile and the first quartile. IQR=Q3−Q1=73−57=16IQR = Q_3 - Q_1 = 73 - 57 = 16.
  3. Verify Calculation: Verify the calculation.\newlineRe-check the subtraction to ensure there are no arithmetic errors.\newline73−5773 - 57 indeed equals 1616.

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