Final answer:
Diagrams can indeed display both qualitative and quantitative data simultaneously through infographics, bar charts with qualitative axis labels, or pie charts with numerical annotations.
Step-by-step explanation:
Yes, a diagram can show both qualitative and quantitative data at the same time. An example of this can be seen in infographics, where images and icons are used to represent qualitative data (such as the type of car you drive), while accompanying text or numbers indicate quantitative data (like the number of cars sold). Another example is a bar chart with bars representing quantitative data (such as weights of sumo wrestlers), and qualitative information such as categories or names provided on the axis labels. Finally, pie charts can display qualitative data by showing the composition of different categories, with percentage labels or numerical annotations that add quantitative context.