1. What is Relative Frequency?

Relative frequency is the fraction or proportion of times a value occurs in a dataset compared to the total number of observations. It's a fundamental concept in statistics for understanding data distributions.

2. How Does the Calculator Work?

The calculator uses the relative frequency formula:

Where:

• Frequency — Number of times an event occurs
• Total — Total number of observations or trials

Explanation: The formula calculates what proportion of the total observations a particular event represents.

3. Importance of Relative Frequency

Details: Relative frequency helps compare occurrences across different sample sizes, creates probability distributions, and is foundational for statistical analysis and probability theory.

4. Using the Calculator

Tips: Enter the frequency count (must be ≥0) and total count (must be >0). The calculator will output the relative frequency as a decimal value between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: How is relative frequency different from percentage?
A: Relative frequency is a decimal between 0 and 1, while percentage is relative frequency multiplied by 100.

Q2: Can relative frequency be greater than 1?
A: No, since frequency cannot exceed the total count, relative frequency is always ≤1.

Q3: What does a relative frequency of 0.5 mean?
A: It means the event occurs in half of all observations (50% of the time).

Q4: How is relative frequency used in probability?
A: For large samples, relative frequency approximates theoretical probability (Law of Large Numbers).

Q5: Can I calculate relative frequency for multiple categories?
A: Yes, calculate separately for each category - their sum should equal 1 (or 100%).