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Based on the following calculator output, determine the range of the dataset.

{:[" 1-Var-Stats "],[ bar(x)=151.857142857],[Sigma x=1063],[Sigmax^(2)=172815],[Sx=43.5715066354],[sigma x=40.3393766204],[n=7],[minX=109],[Q_(1)=122],[Med^(2)=140],[Q_(3)=162],[maxX=241]:}
Answer:

Based on the following calculator output, determine the range of the dataset.\newline 1-Var-Stats xˉ=151.857142857Σx=1063Σx2=172815Sx=43.5715066354σx=40.3393766204n=7minX=109Q1=122Med2=140Q3=162maxX=241 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=151.857142857 \\ \Sigma x=1063 \\ \Sigma x^{2}=172815 \\ S x=43.5715066354 \\ \sigma x=40.3393766204 \\ n=7 \\ \operatorname{minX}=109 \\ Q_{1}=122 \\ \mathrm{Med}^{2}=140 \\ \mathrm{Q}_{3}=162 \\ \max \mathrm{X}=241 \end{array} \newlineAnswer:

Full solution

Q. Based on the following calculator output, determine the range of the dataset.\newline 1-Var-Stats xˉ=151.857142857Σx=1063Σx2=172815Sx=43.5715066354σx=40.3393766204n=7minX=109Q1=122Med2=140Q3=162maxX=241 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=151.857142857 \\ \Sigma x=1063 \\ \Sigma x^{2}=172815 \\ S x=43.5715066354 \\ \sigma x=40.3393766204 \\ n=7 \\ \operatorname{minX}=109 \\ Q_{1}=122 \\ \mathrm{Med}^{2}=140 \\ \mathrm{Q}_{3}=162 \\ \max \mathrm{X}=241 \end{array} \newlineAnswer:
  1. Identify Min and Max Values: Identify the minimum and maximum values from the calculator output.\newlineThe minimum value minXminX is given as 109109.\newlineThe maximum value maxXmaxX is given as 241241.
  2. Calculate Range: Calculate the range of the dataset.\newlineThe range of a dataset is the difference between the maximum and minimum values.\newlineRange = maxXminX\max X - \min X\newlineRange = 241109241 - 109\newlineRange = 132132

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