To determine the interquartile range (IQR) for the scores of the basketball teams, we need a data display that clearly shows the quartiles of the data set. Here’s a brief overview of each data display type provided in the options and how they relate to finding the IQR:
1. Histogram:
- A histogram displays the frequency of data points within specific intervals. While it gives a good overview of the distribution of data, it does not provide direct information about quartiles or the median.
2. Dot Plot:
- A dot plot shows individual data points and can give a sense of the distribution. However, similar to a histogram, it does not explicitly display quartiles or the median.
3. Boxplot:
- A boxplot (or box-and-whisker plot) is specifically designed to show the median, quartiles (including Q1 and Q3), and potential outliers. It visually represents the interquartile range by the length of the box.
Given that the IQR is defined as the difference between the third quartile (Q3) and the first quartile (Q1), the most suitable data display for finding this information is a boxplot, as it directly shows these quartiles.
Thus, based on this reasoning, the correct answer is:
III only
