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Relative Frequency Calculator

Relative Frequency Formula:

\[ \text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total}} \]

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1. What Is Relative Frequency?

Relative frequency is a statistical measure that represents the proportion or percentage of times a particular value or category occurs in a dataset relative to the total number of observations.

2. How Does The Calculator Work?

The calculator uses the relative frequency formula:

\[ \text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total}} \]

Where:

Explanation: This simple division gives the proportion of occurrences for a specific value relative to the entire dataset.

3. Importance Of Relative Frequency

Details: Relative frequency is fundamental in statistics for understanding data distributions, comparing different datasets, and calculating probabilities in empirical studies.

4. Using The Calculator

Tips: Enter the frequency (count of specific occurrences) and the total number of observations. Both values must be positive numbers, with total greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: How is relative frequency different from frequency?
A: Frequency is the raw count of occurrences, while relative frequency expresses this count as a proportion of the total observations.

Q2: Can relative frequency be expressed as a percentage?
A: Yes, simply multiply the decimal result by 100 to convert it to a percentage.

Q3: What does a relative frequency of 0.5 mean?
A: It means that the specific value or event occurred in 50% of the total observations.

Q4: When should I use relative frequency instead of absolute frequency?
A: Use relative frequency when comparing datasets of different sizes or when you need to understand proportions rather than raw counts.

Q5: Can relative frequency be greater than 1?
A: No, since it represents a proportion of the total, relative frequency always ranges between 0 and 1.

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