1. What is Relative Frequency?

Relative frequency is a statistical measure that shows how often something occurs relative to the total number of observations. It's calculated by dividing the frequency of an event by the total number of events.

2. How Does the Calculator Work?

The calculator uses the relative frequency formula:

Where:

• \( RF \) — Relative frequency (dimensionless)
• \( f \) — Frequency of the event (count)
• \( N \) — Total number of observations (count)

Explanation: The formula gives the proportion of times an event occurs in relation to all possible events.

3. Importance of Relative Frequency

Details: Relative frequency is fundamental in statistics for understanding probability distributions, comparing datasets of different sizes, and making predictions based on observed data.

4. Using the Calculator

Tips: Enter the frequency count (must be ≥0) and total count (must be ≥1). Frequency cannot exceed total count. Results are rounded to 4 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between frequency and relative frequency?
A: Frequency is the raw count, while relative frequency is the proportion (frequency divided by total).

Q2: What are valid relative frequency values?
A: Values range from 0 (never occurs) to 1 (always occurs), often expressed as percentages (0% to 100%).

Q3: When should I use relative frequency?
A: When comparing event frequencies across different sample sizes or calculating empirical probabilities.

Q4: How is relative frequency related to probability?
A: In many cases, relative frequency approximates probability, especially with large sample sizes (Law of Large Numbers).

Q5: Can relative frequency be greater than 1?
A: No, since frequency cannot exceed the total count, relative frequency is always ≤1.