Questions and Answers
What is a Frequency Distribution?
A list of values with corresponding frequencies.
What is the Class Width?
The difference between two lower class limits, and it must be a whole number rounded up.
What is the Lower Class Limit?
The smallest value belonging to a class.
What is the Upper Class Limit?
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What is the Class Width Formula?
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What is a Class Midpoint?
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What is the Class Midpoint Formula?
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What are Class Boundaries?
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What is the Class Boundaries Formula?
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What is Frequency?
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What is Relative Frequency?
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What does 'Most' refer to in terms of Frequency?
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What is a Cumulative Frequency Distribution?
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What is meant by Data Normal?
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What is a Histogram?
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Study Notes
Frequency Distribution
- A list that includes values with their corresponding frequencies, representing how often each value occurs.
Class Width
- The difference between two lower class limits.
- Also refers to the difference between the lower and upper class limit for a specific class.
- Must always be a whole number and rounded up.
Lower Class Limit
- The smallest value included in a class interval.
- For an interval defined as X-Y, X represents the lower class limit.
Upper Class Limit
- The largest value included in a class interval.
- For an interval defined as X-Y, Y represents the upper class limit.
Class Width Formula
- Calculated as (highest value on sample - lowest value on sample) / (number of classes).
Class Midpoint
- The value located between the lower and upper limits of a class.
Class Midpoint Formula
- Calculated as (Upper Class Limit + Lower Class Limit) / 2.
Class Boundaries
- Positioned at the midpoint between the upper limit of one class and the lower limit of the next class.
Class Boundaries Formula
- Determined by (Lower Class Limit of higher class + Upper Class Limit of lower class) / 2.
- Lower class limit must be greater than upper class limit.
Frequency
- Refers to the number of times an outcome within a class occurs.
Relative Frequency
- Calculated by dividing the frequency of a specific class by the total frequency across all classes.
- Formula: (Class Frequencies) / (Sum of All Frequencies).
- Expressed as a percentage; for example, if Age 18-21 has a frequency of 25 out of a total of 43, relative frequency is 25/43 = 0.581 or 58.1%.
Most
- Defined as a frequency that exceeds 50%.
Cumulative Frequency Distribution
- Involves adding frequencies sequentially across classes.
- Example: For Age 18-21 with a frequency of 25, the cumulative frequency is 25; for Age 22-25 with a frequency of 10, the cumulative frequency is (25 + 10) = 35.
Data Normal
- Describes data that rises to a central point and then decreases symmetrically.
Histogram
- A bar graph that displays intervals with touching bars, used to represent quantitative data.
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Description
This quiz covers key concepts related to frequency distribution in statistics, including definitions of class width, lower class limit, and upper class limit. Test your understanding of these important terms and their applications in data analysis.
