Question

the box plot below represents some data set. what percentage of the data values are between 22 and 28?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box is divided into two parts by the median. The left part of the box represents the lower half of the data (from the first quartile \(Q_1\) to the median \(Q_2\)) and the right part represents the upper half (from the median \(Q_2\) to the third quartile \(Q_3\)). Each part of the box (lower half and upper half) contains \(25\%\) of the data.

Step2: Identify the values in the box - plot

The value \(22\) is the median (\(Q_2\)) and \(28\) is the third quartile (\(Q_3\)). The data between \(Q_2\) and \(Q_3\) is the upper half of the data within the box.

Answer:

\(25\%\)