1. What is Relative Frequency?

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

2. How Does the Calculator Work?

The calculator uses the relative frequency formula:

Where:

• \( RF \) — Relative frequency (dimensionless)
• \( f \) — Frequency of a particular value (dimensionless)
• \( \sum f \) — Total frequency of all values (dimensionless)

Explanation: The calculator takes your input frequencies, calculates the total, then divides each individual frequency by this total to get the relative frequency.

3. Importance of Relative Frequency

Details: Relative frequencies are essential for comparing datasets of different sizes, creating probability distributions, and understanding the proportion of occurrences in statistical analysis.

4. Using the Calculator

Tips: Enter your frequency values separated by commas (e.g., "10,20,30,40"). All values must be non-negative numbers. The calculator will compute and display each value's relative frequency and the total.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between frequency and relative frequency?
A: Frequency counts occurrences, while relative frequency shows the proportion of occurrences relative to the total.

Q2: Can relative frequency be greater than 1?
A: No, relative frequency is always between 0 and 1 since it's a proportion of the total.

Q3: How is relative frequency related to probability?
A: Relative frequency can be interpreted as empirical probability - the probability based on actual observations.

Q4: What if my data has zero frequencies?
A: Zero frequencies will result in zero relative frequency for those values.

Q5: Can I use this for categorical data?
A: Yes, relative frequency works for both numerical and categorical data.