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 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.
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 3.5. This means that the shoe sizes for the middle half of the players are
within 3.5 shoe sizes of each other.

1 answer

The correct statement is: 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 Interquartile Range (IQR) is a measure of variability that represents the range of values where the middle 50% of the data falls. In this case, since the IQR is 1.5, it indicates that the shoe sizes for the middle 50% of the players vary by at most 1.5 shoe sizes. This helps to show how the values in the dataset are spread out around a central value, providing insight into the distribution of the shoe sizes within the team.