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 explain how this measure of variability describes how the values of a dataset vary with a single number?
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.
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 explain how this measure of variability describes how the values of a dataset vary with a single number?
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.
Answers
GPT 3.5
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 describes how the values of a dataset are spread out. It represents the range of values in the middle 50% of the data. In this case, since the IQR is 1.5, it means that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other. This indicates that there is relatively small variability in the shoe sizes for the majority of the players on the team.
The Interquartile Range (IQR) is a measure of variability that describes how the values of a dataset are spread out. It represents the range of values in the middle 50% of the data. In this case, since the IQR is 1.5, it means that the shoe sizes for the middle half of the players are within 1.5 shoe sizes of each other. This indicates that there is relatively small variability in the shoe sizes for the majority of the players on the team.