Questions and Answers
When data is collected using a qualitative, nominal variable, what is true about a frequency distribution that summarizes the data?
A pie chart can be used to summarize the data
Why is the table summarizing cigarette smoking habits NOT a frequency distribution?
The classes are not mutually exclusive
What does the relative frequency for a class represent?
Percent of observations in the class
What is the relative frequency of students with high interest in the new International Studies program?
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When a class interval is expressed as 100 up to 200, what is true?
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How is relative frequency computed for a relative frequency distribution?
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In a frequency distribution, what is the number of observations in a class called?
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If the monthly salaries of a sample of employees ranged from a low of $1,040 to a high of $1,720, what is the most convenient class interval if we want to condense the data into seven classes?
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What is the best way to illustrate the frequencies for each political preference in a survey?
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What is the following table called? ages, number of ages.
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A frequency polygon is a very useful graphic technique when comparing two or more distributions.
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To convert a frequency distribution to a relative frequency distribution, divide each class frequency by the number of classes.
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In frequency distributions, classes are mutually exclusive if each individual, object, or measurement is included in only one category.
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Study Notes
Frequency Distribution Basics
- Qualitative, nominal data can be effectively summarized using a pie chart.
- A valid frequency distribution requires classes to be mutually exclusive.
- Relative frequency indicates the percentage of total observations in a specific class.
Relative Frequency and Class Intervals
- Relative frequency is determined by dividing class frequency by total frequency.
- A class interval expressed as 100 up to 200 excludes observations with a value of 200.
- The relative frequency for high interest in an International Studies program, with 30 out of 100 responding, is calculated as 30%.
Graphical Representations
- Bar charts are effective for illustrating frequencies of categorical data, such as political party preferences.
- A frequency polygon is useful for comparing two or more distributions visually.
Understanding Class Definitions
- In frequency distributions, the term "class frequency" refers to the number of observations within a class.
- A summarized table demonstrating ages and their counts is classified as a frequency distribution.
Miscellaneous
- When condensing salary data into classes, an interval of $100 is ideal for 100 employees with salaries ranging from $1,040 to $1,720.
- True statements regarding frequency distributions include that classes must be mutually exclusive, and the frequency polygon is beneficial for comparison.
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Description
This quiz covers the fundamentals of frequency distributions, including qualitative and nominal data representation through pie charts, relative frequency calculations, and graphical methods such as bar charts and frequency polygons. Test your understanding of these key statistical concepts and learn how to effectively summarize and visualize data.
