Question
Shoe sizes for 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 IQR and explains how this measure of variability describes how the values of data vary with single number?
Which of the following IQR and explains how this measure of variability describes how the values of data vary with single number?
Answers
GPT 3.5
The IQR (Interquartile Range) is a measure of variability that describes how the middle 50% of a dataset is spread out.
To calculate the IQR of the shoe sizes for the varsity field hockey team, we first need to find the first quartile (Q1) and the third quartile (Q3).
Q1 is the median of the lower half of the dataset, which is 7.0 in this case.
Q3 is the median of the upper half of the dataset, which is 8.5 in this case.
Therefore, the IQR is calculated as Q3 - Q1 = 8.5 - 7.0 = 1.5.
This means that the middle 50% of the shoe sizes for the varsity field hockey team vary by 1.5 shoe sizes. The IQR provides a single number that summarizes the spread of the data in the middle range, making it a useful measure of variability. In this case, a larger IQR indicates greater variability in shoe sizes among the team members.
To calculate the IQR of the shoe sizes for the varsity field hockey team, we first need to find the first quartile (Q1) and the third quartile (Q3).
Q1 is the median of the lower half of the dataset, which is 7.0 in this case.
Q3 is the median of the upper half of the dataset, which is 8.5 in this case.
Therefore, the IQR is calculated as Q3 - Q1 = 8.5 - 7.0 = 1.5.
This means that the middle 50% of the shoe sizes for the varsity field hockey team vary by 1.5 shoe sizes. The IQR provides a single number that summarizes the spread of the data in the middle range, making it a useful measure of variability. In this case, a larger IQR indicates greater variability in shoe sizes among the team members.