1. What is Relative Frequency?

Relative Frequency (RF) is a statistical measure that represents the proportion or percentage of times a particular value or class occurs in a dataset relative to the total number of observations. It provides a normalized view of frequency distribution.

2. How Does the Calculator Work?

The calculator uses the Relative Frequency formula:

Where:

• \( RF \) — Relative Frequency (decimal)
• \( f \) — Class count or frequency
• \( N \) — Total count of all observations

Explanation: The formula calculates the proportion of a specific class within the entire dataset, providing a standardized measure for comparison across different sample sizes.

3. Importance of Relative Frequency

Details: Relative frequency is essential in statistics for creating frequency distributions, comparing datasets of different sizes, calculating probabilities, and understanding the distribution patterns in data analysis.

4. Using the Calculator

Tips: Enter the class count (f) as a non-negative integer and the total count (N) as a positive integer greater than zero. Ensure that the class count does not exceed the total count.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between frequency and relative frequency?
A: Frequency is the actual count of occurrences, while relative frequency is the proportion of occurrences relative to the total sample size.

Q2: How do I convert relative frequency to percentage?
A: Multiply the relative frequency (decimal) by 100 to get the percentage. For example, RF = 0.25 equals 25%.

Q3: What is the range of possible relative frequency values?
A: Relative frequency ranges from 0 to 1, where 0 means the class never occurs and 1 means the class represents the entire dataset.

Q4: When should I use relative frequency instead of absolute frequency?
A: Use relative frequency when comparing distributions from different sample sizes or when you need proportional representation for statistical analysis.

Q5: Can relative frequency be greater than 1?
A: No, relative frequency cannot exceed 1 since it represents a proportion of the total. If f > N, the calculation is invalid.