1. What Is Relative Frequency Distribution?

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

2. How Does The Calculator Work?

The calculator uses the relative frequency formula:

Where:

• \( RF_i \) — Relative frequency for class i (decimal)
• \( f_i \) — Frequency of class i (count)
• \( n \) — Total number of observations (count)

Explanation: The formula calculates the proportion of total observations that belong to each class, allowing for comparison between different datasets regardless of their total size.

3. Importance Of Relative Frequency

Details: Relative frequency distributions are essential in statistics for understanding data patterns, comparing different datasets, creating probability distributions, and visualizing data through relative frequency histograms and pie charts.

4. Using The Calculator

Tips: Enter frequency values separated by commas. Ensure all frequencies are positive integers. The calculator will automatically compute relative frequencies and percentages, and display them in a comprehensive table format.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between frequency and relative frequency?
A: Frequency shows the actual count of observations in each class, while relative frequency shows the proportion of total observations in each class.

Q2: Why use relative frequency instead of absolute frequency?
A: Relative frequency allows comparison between datasets of different sizes and helps in understanding the distribution pattern independent of sample size.

Q3: What should the sum of all relative frequencies equal?
A: The sum of all relative frequencies should always equal 1 (or 100% when expressed as percentages).

Q4: Can relative frequency be greater than 1?
A: No, relative frequency is always between 0 and 1 inclusive, as it represents a proportion of the total.

Q5: How is relative frequency related to probability?
A: In empirical probability, relative frequency can be used as an estimate of probability for each class or category.