To determine the correct answer, we need to understand which types of data displays can be used to find the interquartile range (IQR).
The interquartile range (IQR) is defined as the difference between the third quartile (Q3) and the first quartile (Q1). This measures the middle spread of the data and requires us to identify these quartiles precisely. Different types of plots can help us achieve this:
1. Histogram:
- A histogram is useful for visualizing the distribution of data, but it does not provide specific values for quartiles. Therefore, it is not suitable for finding the IQR directly.
2. Dot plot:
- A dot plot displays individual data points and allows us to see the overall distribution. While it provides a clear view of the data points and can help in estimating quartiles, it is not typically used to calculate the IQR precisely.
3. Box plot:
- A box plot shows the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values of a data set. This makes it perfectly suited for finding the IQR, as Q1 and Q3 are explicitly shown.
Given these observations, we can determine that the box plot (option III) is the most appropriate data display for finding the interquartile range (IQR) of the basketball scores. Therefore, the correct answer is:
III only
