Question

The shoe sizes for a varsity field hockey team are:

5.5, 5.5, 6.0, 6.5, 6.5, 7.0, 7.0, 7.5, 7.5,
7.5, 8.0, 8.0, 8.0, 8.5, 8.5, 9.0
Which of the following is the IQR and explains how this measure of variability describes how the values of a dataset vary with a single number?
(1 point)
• The IQR is 3.5. This means that the O shoe sizes forth middle half of the players are within 3.5 shoe sizes of each other.
• The IQR is 3.5.This means that the
shoe sizes for half of the players are within 3.5 shoe sizes of each other.
• The IQR is 1.5. This means that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other.
• The IQR is 1.5. This means that the
shoe sizes for half of the players are within 1.5 shoe sizes of each other.

Answer 1

[AI-generated answer — Bot GPT 3.5]

• The IQR is 1.5. This means that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other.

This statement correctly describes the Interquartile Range (IQR) as a measure of variability by indicating the range within which the middle 50% of the data falls. In this case, the IQR is 1.5, meaning that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other, demonstrating how the values of the dataset vary within a single number.