Which of the following is a primary benefit of using graphs of frequency distributions in statistics?

• A. They are only useful for qualitative data, not quantitative data.
• B. They make it easier to visualize patterns and trends in the data.
• C. They eliminate the need for any numerical calculations.
• D. They guarantee that all data values are equally represented.

Answer: (B)

Verified step by step guidance

1. Understand the purpose of a frequency distribution graph: it is a visual representation that shows how often each value or range of values occurs in a dataset.
2. Recognize that graphs of frequency distributions help in identifying patterns such as clusters, gaps, peaks, and trends within the data, making it easier to interpret the overall distribution.
3. Note that these graphs can be used for both qualitative (categorical) and quantitative (numerical) data, so the statement that they are only useful for qualitative data is incorrect.
4. Understand that while graphs aid visualization, they do not eliminate the need for numerical calculations such as measures of central tendency or variability.
5. Realize that frequency distribution graphs do not guarantee equal representation of all data values; they simply display the frequency of each value or category as it occurs in the data.