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

{:[" 1-Var-Stats "],[ bar(x)=106.714285714],[Sigma x=747],[Sigmax^(2)=89485],[Sx=40.3514323815],[sigma x=37.3581671534],[n=7],[minX=54],[Q_(1)=82],[Med^(2)=102],[Q_(3)=122],[maxX=182]:}
Answer:

Based on the following calculator output, determine the range of the dataset.\newline 1-Var-Stats xˉ=106.714285714Σx=747Σx2=89485Sx=40.3514323815σx=37.3581671534n=7minX=54Q1=82Med2=102Q3=122maxX=182 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=106.714285714 \\ \Sigma x=747 \\ \Sigma x^{2}=89485 \\ S x=40.3514323815 \\ \sigma x=37.3581671534 \\ n=7 \\ \operatorname{minX}=54 \\ Q_{1}=82 \\ \mathrm{Med}^{2}=102 \\ \mathrm{Q}_{3}=122 \\ \max \mathrm{X}=182 \end{array} \newlineAnswer:

Full solution

Q. Based on the following calculator output, determine the range of the dataset.\newline 1-Var-Stats xˉ=106.714285714Σx=747Σx2=89485Sx=40.3514323815σx=37.3581671534n=7minX=54Q1=82Med2=102Q3=122maxX=182 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=106.714285714 \\ \Sigma x=747 \\ \Sigma x^{2}=89485 \\ S x=40.3514323815 \\ \sigma x=37.3581671534 \\ n=7 \\ \operatorname{minX}=54 \\ Q_{1}=82 \\ \mathrm{Med}^{2}=102 \\ \mathrm{Q}_{3}=122 \\ \max \mathrm{X}=182 \end{array} \newlineAnswer:
  1. Understand Range of Dataset: Understand what the range of a dataset is.\newlineThe range of a dataset is the difference between the maximum and minimum values in the dataset.
  2. Identify Maximum and Minimum Values: Identify the maximum and minimum values from the calculator output. According to the output, the minimum value minXminX is 5454 and the maximum value maxXmaxX is 182182.
  3. Calculate Range: Calculate the range using the maximum and minimum values.\newlineRange = maxXminX\max X - \min X\newlineRange = 18254182 - 54\newlineRange = 128128