Question

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

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is \(Q_3 - Q_1\), where \(Q_1\) is the first quartile and \(Q_3\) is the third quartile. In a box - plot, the length of the box represents the IQR.

Step2: Measure box lengths

Visually measure the length of the box for each box - plot.

• For box - plot A: The box seems to span from approximately 8 to 16, so \(IQR_A=16 - 8=8\).
• For box - plot B: The box seems to span from approximately 20 to 28, so \(IQR_B=28 - 20 = 8\).
• For box - plot C: The box seems to span from approximately 12 to 28, so \(IQR_C=28 - 12=16\).
• For box - plot D: The box seems to span from approximately 12 to 24, so \(IQR_D=24 - 12 = 12\).

Answer:

C.