1. What is Relative Frequency?

Relative frequency is a statistical measure that represents the proportion or percentage of times a particular value occurs in a dataset relative to the total number of observations. It provides insight into the distribution and probability of events within a sample.

2. How Does the Calculator Work?

The calculator uses the relative frequency formula:

Where:

• \( \text{Observed Frequency} \) — Number of times the event occurred
• \( \text{Total} \) — Total number of observations in the dataset

Explanation: This simple division gives you the relative proportion, which can be expressed as a decimal, fraction, or percentage by multiplying by 100.

3. Importance of Relative Frequency Calculation

Details: Relative frequency is fundamental in statistics for understanding probability distributions, analyzing categorical data, and making predictions based on sample data. It's widely used in research, quality control, and data analysis across various fields.

4. Using the Calculator

Tips: Enter the observed frequency (must be positive) and total observations (must be positive and greater than or equal to observed frequency). The calculator will compute the relative frequency as a decimal value.

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 observations.

Q2: How do I convert relative frequency to percentage?
A: Multiply the relative frequency by 100. For example, a relative frequency of 0.25 equals 25%.

Q3: Can relative frequency be greater than 1?
A: No, relative frequency ranges from 0 to 1, where 0 means the event never occurred and 1 means it occurred in every observation.

Q4: What if my observed frequency is greater than total?
A: This is mathematically impossible. The observed frequency cannot exceed the total number of observations in the dataset.

Q5: Where is relative frequency commonly used?
A: Relative frequency is used in probability theory, survey analysis, quality control, market research, and any field that involves analyzing categorical data distributions.