1. What is Relative Frequency?

Relative frequency is a statistical measure that shows the proportion or percentage of times a particular value occurs in a dataset relative to the total number of observations. It helps in understanding the distribution and patterns within data.

2. How Does the Calculator Work?

The calculator uses the relative frequency formula:

Where:

• \( \text{Frequency} \) — Number of times a specific value occurs
• \( \text{Total Frequency} \) — Total number of observations in the dataset

Explanation: The formula calculates what fraction or percentage of the total observations belong to a particular category or value.

3. Importance of Relative Frequency

Details: Relative frequency is crucial for data analysis as it allows comparison between datasets of different sizes, helps identify patterns and trends, and is fundamental in probability theory and statistical inference.

4. Using the Calculator

Tips: Enter the frequency (count of specific occurrences) and total frequency (total number of observations). Both values must be positive numbers, and frequency cannot exceed total frequency.

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 or percentage of that count relative to the total number of observations.

Q2: Can relative frequency be greater than 1?
A: No, relative frequency ranges from 0 to 1 (or 0% to 100%) since it represents a proportion of the total.

Q3: How is relative frequency used in probability?
A: Relative frequency serves as an empirical estimate of probability - as the number of trials increases, relative frequency approaches the theoretical probability.

Q4: What are cumulative relative frequencies?
A: Cumulative relative frequency is the sum of relative frequencies for all values up to and including the current value, showing the proportion of observations that fall below certain thresholds.

Q5: When should I use relative frequency instead of absolute frequency?
A: Use relative frequency when comparing datasets of different sizes or when you need to understand proportions and percentages rather than raw counts.