7. 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?
Answer: C
A bar graph is the best way to display the frequency for each day of the week.
A bar graph effectively represents categorical data, making it suitable for displaying the frequency of students waking up after 8 a.m. for each day of the week. It allows for easy comparison between days.
A) Pie graph
A pie graph is not ideal for this scenario because it represents parts of a whole rather than frequency counts of categorical data. While it shows proportions, it does not effectively compare the number of students for each day of the week.
B) Histogram
A histogram is used for continuous data, typically displaying the distribution of numerical variables. Since the question pertains to categorical data (days of the week), a histogram would not be appropriate for representing the frequency of students waking up after 8 a.m.
C) Bar graph
A bar graph is the most suitable choice as it allows for clear visualization of the frequency of occurrences for each day of the week. Each bar represents a day, making it easy to compare how many students wake up after 8 a.m. on different days.
D) Scatterplot
A scatterplot is designed to display the relationship between two continuous variables, making it unsuitable for this question. Since the data involves categorical days of the week rather than numerical relationships, a scatterplot would not effectively convey the information needed.
Conclusion
The bar graph is the definitive choice for displaying the frequency of students waking up after 8 a.m. for each day of the week due to its ability to easily compare categorical data. The other options, including the pie graph, histogram, and scatterplot, do not effectively represent the information, making them less suitable for this specific context.