Final answer:
Creating a ratio table is not necessary for graphing a relationship, which makes the statement false. Various data organization methods can be used to graph relationships, and bar graphs are particularly effective for comparing populations and quantities.
Step-by-step explanation:
The statement that creating a ratio table is necessary for graphing a relationship is false. Ratio tables can be helpful in organizing values and understanding the relationship between variables, but they are not the only method to create a graph. Various relationships can be graphed using different types of tables, formulas, or even direct plotting of data points onto a coordinate plane.
When constructing histograms, such as for the singles and couples group based on the given instruction, values are typically organized into bins or intervals (such as $50 widths), and the frequency or relative frequency is plotted to provide a visual comparison.
Bar graphs are particularly useful for comparing quantities across different categories. For instance, comparing the populations of various countries enables the viewer to see not only the sizes relative to each other but also additional groupings within those populations, enhancing the graph's interpretive value.