Question

what is the value of the interquartile range of the given data?

Explanation:

Step1: Identify \(Q_1\) and \(Q_3\)

From the box - and - whisker plot, \(Q_1 = 30\) and \(Q_3=44\) (assuming each tick mark is \(2\) units. The left - hand side of the box is \(Q_1\) and the right - hand side of the box is \(Q_3\)).

Step2: Calculate the inter - quartile range (IQR)

The formula for the inter - quartile range is \(IQR=Q_3 - Q_1\). Substitute \(Q_1 = 30\) and \(Q_3 = 44\) into the formula: \(IQR=44 - 30\).

Answer:

\(14\)