1. What is Relative Frequency?

Relative frequency is the fraction or proportion of the total number of items belonging to a particular category in grouped data. It helps understand the distribution of data points across different classes.

2. How Does the Calculator Work?

The calculator uses the relative frequency formula:

Where:

• Class Frequency — Number of items in the specific class
• Total Frequency — Sum of all class frequencies in the dataset

Explanation: The formula calculates what portion of the total data falls into a particular class or category.

3. Importance of Relative Frequency

Details: Relative frequency is fundamental in statistics for understanding data distributions, comparing different datasets, and creating probability distributions.

4. Using the Calculator

Tips: Enter the class frequency (must be ≥0) and total frequency (must be >0). The result is a unitless proportion between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between frequency and relative frequency?
A: Frequency is the count of items in a class, while relative frequency is the proportion compared to the total.

Q2: How is relative frequency related to probability?
A: Relative frequency can serve as an empirical probability estimate for that class occurring.

Q3: Can relative frequency be greater than 1?
A: No, since it's a proportion of the total, it always ranges between 0 and 1.

Q4: How is relative frequency used in histograms?
A: The y-axis can represent relative frequency instead of counts to compare distributions with different totals.

Q5: What's the sum of all relative frequencies in a dataset?
A: The sum should equal 1 (or 100% if expressed as percentages).