Question

based on the following calculator output, determine the range of the dataset.
1 - var - stats
\\( \overline { x } = 176.92857142857142 \\)
\\( \sum x = 9908 \\)
\\( \sum x ^ { 2 } = 1949144 \\)
\\( s x = 59.7168644195582 \\)
\\( \sigma x = 59.18127634132061 \\)
\\( n = 56 \\)
\\( \min x = 24 \\)
\\( q _ { 1 } = 137.5 \\)
\\( \mathrm { med } = 183 \\)
\\( q _ { 3 } = 225.5 \\)
\\( \max x = 293 \\)

Explanation:

Step1: Recall the formula for range

The range of a dataset is calculated as \( \text{Range}=\text{maxX}-\text{minX} \)

Step2: Substitute the values of maxX and minX

We are given that \( \text{minX} = 24 \) and \( \text{maxX}=293 \).
Substituting these values into the formula: \( \text{Range}=293 - 24 \)

Step3: Calculate the result

\(293-24=269\)

Answer:

269