Question

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

Explanation:

Step1: Identify the maximum and minimum values

In a box - plot, the left - most end of the whisker is the minimum value and the right - most end of the whisker is the maximum value.
From the given box - plot, the minimum value \(x_{\text{min}}=30\) and the maximum value \(x_{\text{max}} = 45\)

Step2: Calculate the range

The formula for the range \(R\) of a data set is \(R=x_{\text{max}}-x_{\text{min}}\)
Substitute \(x_{\text{min}} = 30\) and \(x_{\text{max}}=45\) into the formula: \(R = 45-30\)

Answer:

\(15\)