Question

based on the following calculator output, determine the range of the dataset.
1 - var - stats
\\( \overline { x } = 181.68965517241378 \\)
\\( \sum x = 31614 \\)
\\( \sum x ^ { 2 } = 5860834 \\)
\\( s x = 25.994357033176797 \\)
\\( \sigma x = 25.919552972956965 \\)
\\( n = 174 \\)
\\( \min x = 122 \\)
\\( q _ { 1 } = 163 \\)
\\( \mathrm { med } = 180.5 \\)
\\( q _ { 3 } = 201 \\)
\\( \max x = 248 \\)

Explanation:

Step1: Recall the formula for range

The range of a dataset is calculated as \( \text{Range}=\text{max}X-\text{min}X \).

Step2: Substitute the values

We are given that \( \text{min}X = 122 \) and \( \text{max}X=248 \).
So, \( \text{Range}=248 - 122\).

Step3: Calculate the result

\(248-122 = 126\).

Answer:

126