A teacher has asked all the students in the class which days of the week they get up after 8 a.m. Which of the following is the best way to display the frequency for each day of the week?

Rationale

Bar graph is the best way to display the frequency for each day of the week.

A bar graph effectively represents categorical data, such as the frequency of students getting up after 8 a.m. on different days of the week. Each day can be distinctly labeled on the x-axis, while the y-axis indicates the frequency, making it easy to compare the data visually.

A (Histogram) YOUR ANSWER

A pie graph is used to represent parts of a whole and is best suited for categorical data that sums to 100%. While it can show the proportion of students getting up after 8 a.m. across the week, it does not effectively display the individual frequencies for each day, making comparisons difficult.

B (Scatterplot) YOUR ANSWER

A histogram is designed for displaying the distribution of numerical data and requires continuous data, divided into intervals or "bins." In this case, since the question concerns categorical data related to specific days of the week, a histogram is not appropriate for showcasing frequency.

C (Bar graph) CORRECT

The bar graph excels in illustrating categorical data frequencies. Each day of the week can be represented by a separate bar, allowing for straightforward comparisons of how many students report getting up after 8 a.m. on each specific day. This visual clarity is why it is the best choice.

D (Pie graph) YOUR ANSWER

A scatterplot is mainly used to display relationships between two continuous variables. In this scenario, where we are dealing with categorical days of the week and their corresponding frequencies, a scatterplot is not suitable as it does not convey the necessary information effectively.

Conclusion

To summarize, a bar graph is the most effective method for displaying the frequency of students getting up after 8 a.m. on different days of the week. It provides a clear visual comparison of categorical data, unlike pie graphs, histograms, or scatterplots, which are ill-suited for this type of analysis. By using a bar graph, the teacher can easily interpret the data and identify patterns in students' routines.

A teacher has asked all the students in the class which days of the week they get up after 8 a.m. Which of the following is the best way to display the frequency for each day of the week?

Bar graph is the best way to display the frequency for each day of the week.

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