This graphical display identifies the
5-number-summary 1.3.14 associated with the minimum,
quartiles 1.3.9, and the maximum. That is,
\(y_1, Q_1, Q_2, Q_3, y_n\text{.}\) These values separate the data roughly into quarters. To distinguish these quarters connect
\(y_1\) and
\(Q_1\) with a straight line (a whisker) and do the same with
\(Q_3\) and
\(y_n\text{.}\) Use a box to connect
\(Q_1\) with
\(Q_2\) and the same to connect
\(Q_2\) with
\(Q_3\text{.}\) Then the boxed areas also identify the IQR.