4. 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
Bar graph is the best way to display the frequency for each day of the week.
A bar graph effectively visualizes the frequency of responses for each day of the week, allowing for easy comparison between the different days.
A) Histogram
A histogram is used to represent the distribution of numerical data and is not suitable for categorical data like the days of the week. Since the question pertains to discrete categories (days), a histogram would not provide the clarity needed for this type of information.
B) Scatterplot
A scatterplot is used to show the relationship between two continuous variables, making it inappropriate for displaying frequency data across categorical days of the week. This option does not fit the requirements of the question.
C) Bar graph
A bar graph is ideal for displaying the frequency of responses for categorical data, such as the days of the week. Each bar represents a day, and its height corresponds to the number of students who reported waking up after 8 a.m., allowing for straightforward comparisons.
D) Pie graph
While a pie graph can show proportions of a whole, it is less effective at displaying frequency counts for categorical data where comparisons between categories are needed. It does not easily convey the exact number of responses for each day, making it less suitable than a bar graph.
Conclusion
The bar graph is definitively the most effective choice for displaying the frequency of students waking up after 8 a.m. on each day of the week due to its ability to clearly represent and compare categorical data. Other options, such as histograms, scatterplots, and pie graphs, either misrepresent the data type or lack the clarity needed for comparison.