Question

based on the following calculator output, determine the range of the dataset.
1 - var - stats
\\( \overline { x } = 285.1418918918919 \\)
\\( \sum x = 42201 \\)
\\( \sum x ^ { 2 } = 12446535 \\)
\\( s x = 53.021752709071926 \\)
\\( \sigma x = 52.84232155925871 \\)
\\( n = 148 \\)
\\( \min x = 146 \\)
\\( q _ { 1 } = 254 \\)
\\( \mathrm { med } = 273.5 \\)
\\( q _ { 3 } = 324.5 \\)
\\( \max x = 460 \\)

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 of maxX and minX

We are given that \( \text{min}X = 146\) and \( \text{max}X=460\).
So, \( \text{Range}=460 - 146\).

Step3: Calculate the result

\(460-146 = 314\).

Answer:

\(314\)