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Relative Frequency Calculator

Calculate Relative Frequencies with Step-by-Step Derivation

Enter data values (comma separated)

Relative Frequency Formula

Relative Frequency = f / n
Percentage = (f / n) × 100%

Where f is frequency of the value and n is total number of observations.

⚠ Relative frequencies always sum to 1.0 (or 100% for percentages), representing the entire dataset.

What is Relative Frequency?

Relative frequency is the proportion or percentage of times a particular value appears in a dataset. It's calculated by dividing the frequency of a value by the total number of observations.

Proportion

Relative frequency as decimal between 0 and 1

Percentage

Relative frequency multiplied by 100%

Comparison

Allows comparison across different dataset sizes

Distribution

Shows how data is distributed across categories

💡 Example: Data [A,B,A,C,B,A,D,C,B,A], n=10. A appears 4 times, relative frequency = 4/10 = 0.4 (40%).

Applications

Statistics Data Analysis Market Research Quality Control Education

Frequently Asked Questions

What is relative frequency?▼
Relative frequency is count of an event divided by total observations. Can be expressed as proportion (0-1) or percentage (0%-100%).
How to calculate relative frequency?▼
Relative frequency = f / n where f = frequency of category and n = total number of observations.
Difference between frequency and relative frequency?▼
Frequency is count. Relative frequency is proportion/percentage, easier to compare across datasets of different sizes.
What is total relative frequency?▼
Sum of all relative frequencies = 1.0 (or 100% for percentages).

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