1. What Is Relative Frequency Distribution?

Relative frequency distribution shows the proportion or percentage of observations that fall into each category or class interval. It provides a standardized way to compare distributions across different sample sizes.

2. How Does The Calculator Work?

The calculator uses the relative frequency formula:

Where:

• \( \text{Frequency} \) — Number of occurrences in a specific category (count)
• \( \text{Total Frequency} \) — Total number of observations in all categories (count)

Explanation: Relative frequency converts raw counts into proportions or percentages, allowing for meaningful comparisons between datasets of different sizes.

3. Importance Of Relative Frequency

Details: Relative frequency is essential in statistics for normalizing data, creating probability distributions, comparing datasets with different sample sizes, and building cumulative frequency distributions.

4. Using The Calculator

Tips: Enter the frequency (count of observations in a category) and total frequency (sum of all 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 observations, while relative frequency is the proportion or percentage of that count relative to the total observations.

Q2: How is relative frequency related to probability?
A: Relative frequency can be interpreted as empirical probability - the proportion of times an event occurs in repeated trials.

Q3: What is the range of relative frequency values?
A: Relative frequency ranges from 0 to 1 (or 0% to 100%), where 0 means the event never occurs and 1 means it always occurs.

Q4: When should I use relative frequency instead of absolute frequency?
A: Use relative frequency when comparing distributions with different sample sizes or when you need to express results as proportions or percentages.

Q5: How do I calculate cumulative relative frequency?
A: Cumulative relative frequency is the sum of relative frequencies up to a certain point in the distribution, calculated by adding each relative frequency to the sum of previous ones.