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

{:[" 1-Var-Stats "],[ bar(x)=243],[Sigma x=1701],[Sigmax^(2)=437751],[Sx=63.7808748764],[sigma x=59.0496159417],[n=7],[minX=169],[Q_(1)=200],[Med^(2)=230],[Q_(3)=297],[maxX=356]:}
Answer:

Based on the following calculator output, determine the range of the dataset.\newline 1-Var-Stats xˉ=243Σx=1701Σx2=437751Sx=63.7808748764σx=59.0496159417n=7minX=169Q1=200Med2=230Q3=297maxX=356 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=243 \\ \Sigma x=1701 \\ \Sigma x^{2}=437751 \\ S x=63.7808748764 \\ \sigma x=59.0496159417 \\ n=7 \\ \operatorname{minX}=169 \\ \mathrm{Q}_{1}=200 \\ \mathrm{Med}^{2}=230 \\ \mathrm{Q}_{3}=297 \\ \max \mathrm{X}=356 \end{array} \newlineAnswer:

Full solution

Q. Based on the following calculator output, determine the range of the dataset.\newline 1-Var-Stats xˉ=243Σx=1701Σx2=437751Sx=63.7808748764σx=59.0496159417n=7minX=169Q1=200Med2=230Q3=297maxX=356 \begin{array}{l} \text { 1-Var-Stats } \\ \bar{x}=243 \\ \Sigma x=1701 \\ \Sigma x^{2}=437751 \\ S x=63.7808748764 \\ \sigma x=59.0496159417 \\ n=7 \\ \operatorname{minX}=169 \\ \mathrm{Q}_{1}=200 \\ \mathrm{Med}^{2}=230 \\ \mathrm{Q}_{3}=297 \\ \max \mathrm{X}=356 \end{array} \newlineAnswer:
  1. Understand Range of Dataset: Understand what the range of a dataset is. The range of a dataset is the difference between the maximum and minimum values in the dataset, represented as range=max(xi)min(xi)\text{range} = \max(x_i) - \min(x_i), where xix_i are the 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 169169 and the maximum value maxXmaxX is 356356.
  3. Calculate Range: Calculate the range using the maximum and minimum values.\newlineRange = maxXminX\max X - \min X\newlineRange = 356169356 - 169
  4. Perform Subtraction: Perform the subtraction to find the range. \newlineRange = 356169=187356 - 169 = 187