For a relative frequency distribution, relative frequency is computed as the class frequency divided by the number of observations. the class midpoint divided by the class frequency. the class width divided by the class interval. the class frequency divided by the class interval.
For a relative frequency distribution, relative frequency is computed as the class frequency divided by the number of observations. the class midpoint divided by the class frequency. the class width divided by the class interval. the class frequency divided by the class interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![### Understanding Relative Frequency Distribution
In a relative frequency distribution, the relative frequency is calculated using the following formula:
- **The class frequency divided by the number of observations.**
This method provides a proportion that represents the frequency of a particular class relative to the total number of observations.
Other options frequently mentioned in error are:
- The class midpoint divided by the class frequency.
- The class width divided by the class interval.
- The class frequency divided by the class interval.
However, these do not accurately represent the concept of relative frequency.
#### Example Calculation
For instance, if you have a class frequency of 10 observations in a class and there are 50 total observations in the dataset, the relative frequency for that class would be:
\[ \text{Relative Frequency} = \frac{\text{Class Frequency}}{\text{Total Number of Observations}} = \frac{10}{50} = 0.2 \]
This means that 20% of the observations fall into that specific class.
### Visualization
Graphs depicting relative frequency distributions can be histogram or bar charts where:
- The x-axis represents the data classes.
- The y-axis represents the relative frequencies.
Each bar's height correlates to the relative frequency of each class, making it easier to visually interpret the data distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab2cae91-b738-4378-9d2b-34dbb8327a9e%2F65bb175c-366c-49e2-8c2b-c4b3f69fa427%2Fmncuh8h_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Relative Frequency Distribution
In a relative frequency distribution, the relative frequency is calculated using the following formula:
- **The class frequency divided by the number of observations.**
This method provides a proportion that represents the frequency of a particular class relative to the total number of observations.
Other options frequently mentioned in error are:
- The class midpoint divided by the class frequency.
- The class width divided by the class interval.
- The class frequency divided by the class interval.
However, these do not accurately represent the concept of relative frequency.
#### Example Calculation
For instance, if you have a class frequency of 10 observations in a class and there are 50 total observations in the dataset, the relative frequency for that class would be:
\[ \text{Relative Frequency} = \frac{\text{Class Frequency}}{\text{Total Number of Observations}} = \frac{10}{50} = 0.2 \]
This means that 20% of the observations fall into that specific class.
### Visualization
Graphs depicting relative frequency distributions can be histogram or bar charts where:
- The x-axis represents the data classes.
- The y-axis represents the relative frequencies.
Each bar's height correlates to the relative frequency of each class, making it easier to visually interpret the data distribution.
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