Question

the box plot below represents some data set. what is the range of the data?

Explanation:

Step1: Recall the formula for range

The range of a data set is calculated as \( \text{Range}=\text{Maximum value}-\text{Minimum value} \).

Step2: Identify the maximum and minimum values from the box - plot

From the box - plot, the minimum value \( x_{\text{min}} = 27 \) and the maximum value \( x_{\text{max}} = 45 \).

Step3: Calculate the range

Substitute the values into the formula: \( \text{Range}=45 - 27\).

Answer:

\(18\)