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Questions and Answers
In an ungrouped frequency distribution of the average age of high school graduates, what would be the boundaries for the class of graduates who were reported to be 18 years old?
In an ungrouped frequency distribution of the average age of high school graduates, what would be the boundaries for the class of graduates who were reported to be 18 years old?
17.5-18.5 years old
Which of the following does not need to be done when constructing a frequency distribution?
Which of the following does not need to be done when constructing a frequency distribution?
- Determine the range of the data
- Make the class width an even number (correct)
- Select class boundaries
- Decide on the number of classes
Thirty students recorded the colors of their eyes. This data can be appropriately summarized in a(n).
Thirty students recorded the colors of their eyes. This data can be appropriately summarized in a(n).
categorical frequency distribution
If the limits for a class were [limits], the boundaries would be.
If the limits for a class were [limits], the boundaries would be.
Using the ogive shown below, what is the cumulative frequency of data values less than or equal to 16?
Using the ogive shown below, what is the cumulative frequency of data values less than or equal to 16?
How many values are in the data set whose histogram is shown below?
How many values are in the data set whose histogram is shown below?
Classify the histogram as unimodal or bimodal.
Classify the histogram as unimodal or bimodal.
Graphs give a visual representation that may enable readers to analyze and interpret data more easily than simply looking at tables of numbers.
Graphs give a visual representation that may enable readers to analyze and interpret data more easily than simply looking at tables of numbers.
When making Pareto charts, data should be arranged according to frequency.
When making Pareto charts, data should be arranged according to frequency.
A time series graph is useful for which of the following purposes?
A time series graph is useful for which of the following purposes?
If a data set showing types of pizza ordered at a particular restaurant indicates 24 out of 72 orders were for pepperoni pizza, how many degrees would be needed to represent pepperoni pizza in a pie chart?
If a data set showing types of pizza ordered at a particular restaurant indicates 24 out of 72 orders were for pepperoni pizza, how many degrees would be needed to represent pepperoni pizza in a pie chart?
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Study Notes
Frequency Distribution Basics
- Class boundaries for 18-year-old graduates range from 17.5 to 18.5 years old.
- No requirement for the class width to be an even number when creating a frequency distribution.
Data Representation
- Thirty students recorded eye colors, suitable for a categorical frequency distribution.
- The relationship between class limits and boundaries is established as true.
Cumulative Frequency and Data Values
- Using an ogive, the cumulative frequency for data values less than or equal to 16 is 30.
- In a corresponding histogram, the total number of values represented is 22.
Histogram Characteristics
- A histogram can be classified based on its shape; in this case, it's identified as bimodal.
Visual Data Interpretation
- Graphs provide easier data analysis than numerical tables.
- Pareto charts must display data arranged from largest to smallest frequency.
Time Series Graphs
- Time series graphs are effective for demonstrating changes in data category frequencies over time.
Pie Chart Representation
- In a pie chart, to represent 24 out of 72 pepperoni pizza orders, 120° is needed, reflecting its proportional significance.
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