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Questions and Answers
A frequency distribution groups data into classes showing the number of observations in each class.
A frequency distribution groups data into classes showing the number of observations in each class.
True
A frequency distribution for qualitative data has class limits.
A frequency distribution for qualitative data has class limits.
False
To summarize the gender of students attending a college, the number of classes in a frequency distribution depends on the number of students.
To summarize the gender of students attending a college, the number of classes in a frequency distribution depends on the number of students.
False
In frequency distributions, classes are mutually exclusive if each individual, object, or measurement is included in only one category.
In frequency distributions, classes are mutually exclusive if each individual, object, or measurement is included in only one category.
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In a bar chart, the x-axis is labeled with the values of a qualitative variable.
In a bar chart, the x-axis is labeled with the values of a qualitative variable.
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In a bar chart, the heights of the bars represent the frequencies in each class.
In a bar chart, the heights of the bars represent the frequencies in each class.
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The midpoint of a class, which is also called a class mark, is halfway between the lower and upper limits.
The midpoint of a class, which is also called a class mark, is halfway between the lower and upper limits.
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A class interval, or class width, can be determined by subtracting the lower limit of a class from the lower limit of the next higher class.
A class interval, or class width, can be determined by subtracting the lower limit of a class from the lower limit of the next higher class.
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To convert a frequency distribution to a relative frequency distribution, divide each class frequency by the sum of the class frequencies.
To convert a frequency distribution to a relative frequency distribution, divide each class frequency by the sum of the class frequencies.
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To convert a frequency distribution to a relative frequency distribution, divide each class frequency by the number of classes.
To convert a frequency distribution to a relative frequency distribution, divide each class frequency by the number of classes.
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A pie chart is similar to a relative frequency distribution.
A pie chart is similar to a relative frequency distribution.
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A pie chart shows the relative frequency in each class.
A pie chart shows the relative frequency in each class.
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To construct a pie chart, relative class frequencies are used to graph the 'slices' of the pie.
To construct a pie chart, relative class frequencies are used to graph the 'slices' of the pie.
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A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.
A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.
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A frequency polygon is a very useful graphic technique when comparing two or more distributions.
A frequency polygon is a very useful graphic technique when comparing two or more distributions.
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Monthly commissions of first-year insurance brokers are $1,270, $1,310, $1,680, $1,380, $1,410, $1,570, $1,180, and $1,420. These figures are referred to as a(n) __________.
Monthly commissions of first-year insurance brokers are $1,270, $1,310, $1,680, $1,380, $1,410, $1,570, $1,180, and $1,420. These figures are referred to as a(n) __________.
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A small sample of computer operators shows monthly incomes of $1,950, $1,775, $2,060, $1,840, $1,795, $1,890, $1,925, and $1,810. What are these ungrouped numbers called?
A small sample of computer operators shows monthly incomes of $1,950, $1,775, $2,060, $1,840, $1,795, $1,890, $1,925, and $1,810. What are these ungrouped numbers called?
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When data is collected using a quantitative, ratio variable, what is true about a frequency distribution that summarizes the data?
When data is collected using a quantitative, ratio variable, what is true about a frequency distribution that summarizes the data?
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When data is collected using a qualitative, nominal variable, what is true about a frequency distribution that summarizes the data?
When data is collected using a qualitative, nominal variable, what is true about a frequency distribution that summarizes the data?
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When data is collected using a qualitative, nominal variable (in other words, male or female), what is true about a frequency distribution that summarizes the data?
When data is collected using a qualitative, nominal variable (in other words, male or female), what is true about a frequency distribution that summarizes the data?
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A student was interested in the cigarette smoking habits of college students and collected data from an unbiased random sample of students. The data is summarized in the following table.
A student was interested in the cigarette smoking habits of college students and collected data from an unbiased random sample of students. The data is summarized in the following table.
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A student was interested in the cigarette smoking habits of college students and collected data from an unbiased random sample of students. The data is summarized in the following table:
A student was interested in the cigarette smoking habits of college students and collected data from an unbiased random sample of students. The data is summarized in the following table:
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A student was interested in the cigarette smoking habits of college students and collected data from an unbiased random sample of students. The data is summarized in the following table:
A student was interested in the cigarette smoking habits of college students and collected data from an unbiased random sample of students. The data is summarized in the following table:
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When a class interval is expressed as 100 up to 200, _________________________.
When a class interval is expressed as 100 up to 200, _________________________.
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For a relative frequency distribution, relative frequency is computed as _____________.
For a relative frequency distribution, relative frequency is computed as _____________.
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The relative frequency for a class represents the ________________.
The relative frequency for a class represents the ________________.
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A group of 100 students was surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. In the study, 30 students responded high interest, 40 students responded medium interest.
A group of 100 students was surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. In the study, 30 students responded high interest, 40 students responded medium interest.
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Study Notes
Frequency Distribution
- A frequency distribution organizes data into classes, showing the number of observations per class.
- Frequency distributions for qualitative data do not have class limits.
- Classes in a frequency distribution must be mutually exclusive, meaning each observation belongs to one category only.
Bar Charts
- The x-axis of a bar chart is labeled with qualitative variable values.
- Bar heights represent frequencies for each class in a bar chart.
Class Characteristics
- The midpoint (class mark) of a class is located halfway between its lower and upper limits.
- Class intervals or widths can be calculated by subtracting the lower limit of a class from the lower limit of the next higher class.
Relative Frequency Distribution
- To create a relative frequency distribution, divide each class frequency by the total frequency, not the number of classes.
- Relative frequencies can be represented in a pie chart, showing proportional slices based on class frequencies.
Cumulative Frequencies
- A cumulative frequency distribution helps determine how many observations fall above or below specific values.
Visual Techniques
- A frequency polygon is useful for comparing multiple distributions visually.
Raw Data
- Monthly commissions or incomes provide examples of raw data, which is ungrouped and unprocessed numerical data.
Data Types and Frequency Distribution
- Quantitative ratio variables require calculation of upper and lower class limits in a frequency distribution.
- Qualitative nominal variables can be summarized using pie charts, with the number of classes corresponding to variable values.
Data Insights
- Observations such as income or smoking habits can be summarized in visual formats like bar charts or pie charts based on collected data.
- If a class interval is defined as 100 up to 200, it excludes observations equal to 200.
Relative Frequency
- Relative frequency is expressed as the class frequency divided by total frequency, indicating the percentage of total observations for that class.
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Description
Test your knowledge of frequency distributions and qualitative data in this quiz based on Statistics Chapter 2. Each card presents a statement that you need to evaluate as true or false. Join now to strengthen your understanding of statistical concepts!
