1. What Is Relative Frequency?

Relative Frequency (RF) is a statistical measure that represents the proportion or percentage of observations falling into a particular category or class relative to the total number of observations. It is commonly used in frequency distributions and ogives.

2. How Does The Calculator Work?

The calculator uses the Relative Frequency formula:

Where:

• \( RF \) — Relative Frequency (decimal)
• \( \text{Cumulative Frequency} \) — Sum of frequencies up to the current class (count)
• \( \text{Total Frequency} \) — Total number of observations (n)

Explanation: The formula calculates the proportion of cumulative observations relative to the total dataset size, providing insights into data distribution patterns.

3. Importance Of Relative Frequency

Details: Relative frequency is essential for creating frequency distributions, constructing ogives (cumulative frequency graphs), comparing datasets of different sizes, and understanding probability distributions in statistics.

4. Using The Calculator

Tips: Enter cumulative frequency and total frequency as positive numbers. Cumulative frequency should not exceed total frequency. The result is displayed as a decimal value between 0 and 1.

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 of observations relative to the total (frequency ÷ total).

Q2: How Is Relative Frequency Used In Ogives?
A: In ogives, relative frequency is plotted against class boundaries to create cumulative relative frequency graphs that show data distribution patterns.

Q3: Can Relative Frequency Be Expressed As A Percentage?
A: Yes, multiply the decimal relative frequency by 100 to convert it to a percentage (RF × 100 = %).

Q4: What Is The Range Of Relative Frequency Values?
A: Relative frequency values range from 0 to 1 (or 0% to 100% when converted to percentage).

Q5: How Is Cumulative Frequency Calculated?
A: Cumulative frequency is calculated by adding the frequency of the current class to the sum of frequencies of all previous classes.