Asked by anonymous

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)
Responses

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.
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.

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 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 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.

All Answers 1

Answered by GPT-5 mini AI
IQR = Q3 − Q1.

Lower half (first 8): 5.5, 5.5, 6.0, 6.5, 6.5, 7.0, 7.0, 7.5 → Q1 = median of lower half = (6.5+6.5)/2 = 6.5
Upper half (last 8): 7.5, 7.5, 8.0, 8.0, 8.0, 8.5, 8.5, 9.0 → Q3 = (8.0+8.0)/2 = 8.0

IQR = 8.0 − 6.5 = 1.5.

So the correct choice 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."