Question

1. which box plot has the largest interquartile range? a. b. c. d.

Explanation:

Step1: Recall inter - quartile range concept

The inter - quartile range (IQR) in a box - plot is the length of the box, which is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), i.e., $IQR = Q_3 - Q_1$.

Step2: Observe box lengths

Visually inspect the length of the boxes in each box - plot.

• In option A, the box seems relatively short.
• In option B, the box is also not very long.
• In option C, the box is the longest among all the given box - plots.
• In option D, the box is shorter than the one in option C.

Answer:

C.