Which graph is used to organize and display data so that the frequencies can be compared?

• A. Stem-and-leaf plot
• B. Box-plots
• C. Box plot
• D. Frequency polygon

Answer: (A)

This question is about showing how often data points occur across different values so you can compare those frequencies easily. A stem-and-leaf plot does this well by spliting each number into a stem (the leading digits) and a leaf (the trailing digit). Each data point is represented, so you can see exactly how many observations fall into each stem and then compare the frequencies across stems at a glance. The leaves under each stem give the precise counts for that range, making it straightforward to compare how common different values are.

Box plots, by contrast, summarize a distribution with a minimum, a quartile range, a median, and a maximum. They convey spread and central tendency but don’t show how many data points fall into each exact value or narrow range. Frequency polygons plot frequencies for class intervals and connect them with lines; they’re good for comparing the shape of distributions, but they don’t preserve the actual data values as clearly as a stem-and-leaf plot does and require grouping into intervals. So for directly organizing data so that you can compare frequencies across values, the stem-and-leaf plot is the most informative choice.