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Questions and Answers
What is the purpose of constructing a cumulative frequency curve or an Ogive?
To determine the number or proportion of cases above or below a given value.
Explain the 'less than' method of constructing an Ogive.
In the 'less than' method, we start with the upper limits of the classes and add the frequencies successively to get a rising curve.
Describe the 'more than' method of constructing an Ogive.
In the 'more than' method, we start with the lower limits of the classes and subtract the frequency of each class from the total frequency to get a declining curve.
What is the utility of Ogives in graphic presentation?
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Why do we need to add frequencies when constructing a cumulative frequency curve?
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How are cumulative frequencies listed in a table called?
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What do Ogives help us visualize?
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What is the pronunciation of 'Ogive'?
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Why are cumulative frequency curves important in statistics?
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How does the cumulative frequency curve differ from a standard frequency distribution?
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Study Notes
Converting Inclusive to Exclusive Class Intervals
- To convert an inclusive class interval frequency distribution table to an exclusive class interval frequency distribution table, compute the correction factor: Lower Limit of Next Class - Upper Limit of previous Class = 0.5
- Add the correction factor to the upper limit and subtract it from the lower limit of the class
Cumulative Frequency Distribution
- A cumulative frequency distribution is the sum of the class frequency and all classes' frequencies below it in a frequency distribution
- It is used to determine the number of items that have values below a particular level
- Example of a cumulative frequency distribution table:
- Class interval | Frequency (f) | Cumulative Frequency
- 20-25 | 10 | 10
- 25-30 | 12 | 22
- 30-35 | 8 | 30
- 35-40 | 20 | 50
- 40-45 | 11 | 61
- 45-50 | 4 | 65
- 50-55 | 5 | 70
Tabulation of Statistical Data
- Tabulation is the process of systematic arrangement of numerical data in different rows or/and columns according to certain characteristics
- Objectives of tabulation:
- To simplify complex data
- To facilitate comparison
Cumulative Frequency Curves or Ogives
- A cumulative frequency curve or ogive is a curve obtained by plotting cumulative frequencies
- There are two methods of constructing Ogives:
- The 'less than' method: starts with the upper limits of the classes and adds the frequencies
- The 'more than' method: starts with the lower limits of the classes and subtracts the frequency of each class from the total frequency
- Utility of Ogives:
- To determine or portray the number or proportion of cases above or below a given value
- To compare two or more frequency distributions
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Description
This quiz tests your ability to convert inclusive class interval frequency distribution tables into exclusive class interval frequency distribution tables. Practice your skills in organizing and analyzing data in statistics.
