The correct response 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.
Explanation: The IQR (Interquartile Range) is a measure of how spread out the data is in the middle half of the dataset. It is calculated by finding the difference between the third quartile (Q3, the 75th percentile) and the first quartile (Q1, the 25th percentile). In this case, Q3 is 8.5 and Q1 is 7.0, so the IQR is 8.5 - 7.0 = 1.5. This means that the shoe sizes for the middle half of the players (from Q1 to Q3) are within 1.5 shoe sizes of each other.
Compare Measures of Variation Quick Check
1 of 51 of 5 Items
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)
Responses
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.
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 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