A researcher has collected information on students from a school. The researcher wants to display the ethnic groups represented in the school. Which pair of graphs both display data in this manner?

Rationale

Bar graph and pie chart both display data representing ethnic groups effectively.

Both bar graphs and pie charts are excellent tools for visualizing categorical data, such as the ethnic composition of a school. They allow for clear comparisons of different groups, making it easy to understand the proportions and counts of each ethnic category represented.

A (Bar graph and pie chart) CORRECT

Both of these graph types are specifically designed for displaying categorical data. A bar graph allows for easy comparison of the sizes of different groups by representing each category with a separate bar, while a pie chart visually represents the proportion of each ethnic group relative to the whole, making it clear how each group contributes to the total.

B (Pie chart and box plot) YOUR ANSWER

While the pie chart is suitable for displaying categorical data, the box plot is not. Box plots are used to represent the distribution of numerical data based on five summary statistics (minimum, first quartile, median, third quartile, and maximum). Therefore, they do not effectively convey information about different ethnic groups.

C (Bar graph and histogram) YOUR ANSWER

Although bar graphs are appropriate for categorical data, histograms are intended for displaying the distribution of continuous numerical data. They group data into ranges (bins) rather than categories, making them unsuitable for showing distinct ethnic groups.

D (Line graph and bar graph) YOUR ANSWER

While the bar graph is suitable for categorical data, line graphs are best used for showing trends over time with continuous data. They are not well-suited for displaying distinct categories like ethnic groups, which can lead to misinterpretation of the data.

Conclusion

To effectively display the ethnic groups represented in a school, a bar graph and a pie chart are the best options. Both of these graphs provide clear and informative representations of categorical data, allowing for straightforward comparisons and visual insights into the demographic diversity of the student body. In contrast, the other options either mix incompatible graph types or focus on numerical data that does not apply to the question at hand.

A researcher has collected information on students from a school. The researcher wants to display the ethnic groups represented in the school. Which pair of graphs both display data in this manner?

Bar graph and pie chart both display data representing ethnic groups effectively.

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