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

{:[" 1-Var-Stats "],[ bar(x)=46.2857142857],[Sigma x=324],[Sigmax^(2)=15426],[Sx=8.45998986828],[sigma x=7.83242866393],[n=7],[minX=34],[Q_(1)=41],[Med^(2)=45],[Q_(3)=55],[maxX=59]:}
Answer:

Based on the following calculator output, determine the range of the dataset.\newline 1-Var-Stats xˉ=46.2857142857Σx=324Σx2=15426Sx=8.45998986828σx=7.83242866393n=7minX=34Q1=41Med2=45Q3=55maxX=59 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=46.2857142857 \\ \Sigma x=324 \\ \Sigma x^{2}=15426 \\ S x=8.45998986828 \\ \sigma x=7.83242866393 \\ n=7 \\ \operatorname{minX}=34 \\ \mathrm{Q}_{1}=41 \\ \mathrm{Med}^{2}=45 \\ \mathrm{Q}_{3}=55 \\ \max \mathrm{X}=59 \end{array} \newlineAnswer:

Full solution

Q. Based on the following calculator output, determine the range of the dataset.\newline 1-Var-Stats xˉ=46.2857142857Σx=324Σx2=15426Sx=8.45998986828σx=7.83242866393n=7minX=34Q1=41Med2=45Q3=55maxX=59 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=46.2857142857 \\ \Sigma x=324 \\ \Sigma x^{2}=15426 \\ S x=8.45998986828 \\ \sigma x=7.83242866393 \\ n=7 \\ \operatorname{minX}=34 \\ \mathrm{Q}_{1}=41 \\ \mathrm{Med}^{2}=45 \\ \mathrm{Q}_{3}=55 \\ \max \mathrm{X}=59 \end{array} \newlineAnswer:
  1. Identify Min and Max: Identify the minimum and maximum values from the calculator output.\newlineThe minimum value minXminX is given as 3434 and the maximum value maxXmaxX is given as 5959.
  2. Calculate Range: Calculate the range of the dataset.\newlineThe range of a dataset is calculated by subtracting the minimum value from the maximum value.\newlineRange = maxXminX\max X - \min X\newlineRange = 593459 - 34\newlineRange = 2525
  3. Verify Calculation: Verify the calculation.\newlineTo ensure there are no math errors, we can quickly recheck the subtraction:\newline5934=2559 - 34 = 25\newlineThe calculation is correct.

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