Question 12

Bar graph and pie chart

Both bar graphs and pie charts are effective for displaying categorical data, such as the ethnic groups represented in a school. They visually represent proportions and comparisons, making it easy to understand the distribution of different groups.

A) Bar graph and pie chart

This option is correct because both the bar graph and pie chart are designed to represent categorical data. A bar graph shows the frequency or count of each ethnic group with distinct bars, while a pie chart illustrates the relative proportions of each group within the whole, allowing for clear comparisons.

B) Pie chart and box plot

This option is incorrect because while the pie chart can effectively represent categorical data, the box plot is primarily used for displaying the distribution of numerical data through quartiles. Box plots do not convey information about categorical data like ethnic groups.

C) Bar graph and histogram

This option is incorrect as well because, although a bar graph is suitable for categorical data, a histogram is used for continuous numerical data. Histograms display the frequency distribution of numerical data and are not appropriate for representing distinct categories like ethnic groups.

D) Line graph and bar graph

This option is also incorrect. While the bar graph is appropriate for categorical data, the line graph is generally used to show trends over time or continuous data. It does not effectively represent the static distribution of different ethnic groups within a school.

Conclusion

In summary, the correct answer is A, as both the bar graph and pie chart are suitable for displaying the ethnic groups in the school context. Other options fail because they either mix appropriate and inappropriate graph types or focus on numerical data, which does not align with the categorical nature of the question.