Podcast
Questions and Answers
In a bar chart representing university admissions data, what does the length of each bar typically indicate?
In a bar chart representing university admissions data, what does the length of each bar typically indicate?
- The standard deviation of student numbers across categories.
- The total number of categories in the variable.
- The relative frequency of each group in the variable. (correct)
- The average number of students per category.
A pie chart uses rectangular bars to represent different frequencies of a categorical variable.
A pie chart uses rectangular bars to represent different frequencies of a categorical variable.
False (B)
What value do you multiply the relative frequency by to determine the degrees for each section in a pie chart?
What value do you multiply the relative frequency by to determine the degrees for each section in a pie chart?
360
In a frequency distribution table for university admissions, categories might include public school graduates, private school graduates, and __________ _________ transfers.
In a frequency distribution table for university admissions, categories might include public school graduates, private school graduates, and __________ _________ transfers.
Match the chart type with its best use for visualizing categorical data:
Match the chart type with its best use for visualizing categorical data:
If the relative frequency of private school graduates is 0.1037, what is the corresponding degree measure for this category in a pie chart?
If the relative frequency of private school graduates is 0.1037, what is the corresponding degree measure for this category in a pie chart?
Why is it important to present data effectively when communicating to a wider audience?
Why is it important to present data effectively when communicating to a wider audience?
Which type of chart is most effective at quickly illustrating that community college transfers make up the majority of admitted students?
Which type of chart is most effective at quickly illustrating that community college transfers make up the majority of admitted students?
Flashcards
Frequency Distribution Table
Frequency Distribution Table
A table showing the frequency of each category in a dataset.
Bar Chart
Bar Chart
A graph using rectangular bars to represent the frequencies of different categories.
Relative Frequency
Relative Frequency
The proportion of observations within a category, calculated by dividing the frequency of that category by the total number of observations.
Pie Chart
Pie Chart
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Pie Chart Sections
Pie Chart Sections
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Categorical Variable
Categorical Variable
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Bar Chart X-Axis
Bar Chart X-Axis
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Bar Chart Y-Axis
Bar Chart Y-Axis
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Study Notes
- Data presentation is critical for communication to a wider audience.
Frequency Distribution Table
- Summarizing data into a frequency distribution table is required before graphs are constructed.
- There are three categories of incoming students: public school graduates, private school graduates, and community college transfers.
- Out of 10,000 admitted students in 2013:
- 1,037 are public school graduates.
- 6,950 are private school graduates.
- The relative frequency is 0.2013 for public school graduates, and 0.6950 for community college transfers.
Bar Charts
- A bar chart is a graph that utilizes rectangular bars to represent different frequencies of a categorical variable.
- The length of each bar indicates the frequency of each group in the variable.
- Relative frequencies of data are plotted on the y-axis, while the categories are on the x-axis.
- The height of each vertical bar is the relative frequency of the category it is associated with.
- Bar graphs help to easily recognize the majority of admitted students
- Most students are community college transfers
Pie Charts
- Pie charts graphically represent the frequency of a categorical variable.
- A pie chart is divided into sections to form an entire circle.
- Each section's size is proportional to the relative frequency of each category.
- Circles are measured in degrees therefore the relative frequency of each category needs to be converted into degrees.
- Multiplying 0.2013 (relative frequency of public school graduates) by 360° results in 72.47°.
- That section will measure 72.47.
- The largest portion of admitted students are community college transfer students
- Bar charts and pie charts present the same information but in different formats.
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Description
Learn about frequency distribution tables for summarizing data. Explore bar charts, which use rectangular bars to represent frequencies of categorical variables, with the y-axis showing relative frequencies and the x-axis showing categories.
