Question

what is the range of the given data? 5 12 13 2

Explanation:

Step1: Identify the maximum and minimum values

From the box - and - whisker plot, the minimum value \(x_{\text{min}} = 102\) (the left - most dot) and the maximum value \(x_{\text{max}}=115\) (the right - most dot).

Step2: Calculate the range

The formula for the range \(R\) of a data set is \(R=x_{\text{max}}-x_{\text{min}}\). Substitute \(x_{\text{max}} = 115\) and \(x_{\text{min}}=102\) into the formula: \(R = 115 - 102=13\).

Answer:

13