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Frequency Distribution Calculator

Create a frequency distribution table from your data. Calculate frequency, relative frequency, percentage, cumulative frequency, and key data statistics instantly.

Build a Frequency Distribution

Enter your data values to generate a complete frequency distribution table.

Separate values with commas, spaces, or line breaks. Decimal and negative numbers are supported.
Try Example Data
Frequency Distribution Result
Distribution Created
Total Observations 0
Unique Values 0
Minimum 0
Maximum 0
Range 0
Most Frequent
Highest Frequency 0
Total Frequency 0
Value Frequency Relative Frequency Percentage Cumulative Frequency

What Is a Frequency Distribution?

A frequency distribution is a way of organizing data by showing how often each value occurs. Instead of reviewing every individual observation, a frequency table summarizes repeated values in a clear and structured format.

Frequency distributions are commonly used in statistics, research, education, business analysis, and data science. They make it easier to identify common values, patterns, and the overall structure of a data set.

Frequency = Number of times a value occurs

How Does the Frequency Distribution Calculator Work?

The calculator examines every value in your data set, groups identical values together, and counts how many times each value appears.

  1. Enter your numerical data into the input field.
  2. The calculator validates and sorts the values.
  3. Each unique value is identified.
  4. The frequency of each unique value is counted.
  5. Relative frequency is calculated by dividing frequency by the total number of observations.
  6. Percentage frequency is calculated by multiplying relative frequency by 100.
  7. Cumulative frequency is calculated by adding frequencies progressively from the smallest value upward.

Frequency Distribution Formulas

Frequency

Frequency = Number of occurrences of a value

Relative Frequency

Relative Frequency = Frequency ÷ Total Number of Observations

Percentage Frequency

Percentage = Relative Frequency × 100

Cumulative Frequency

Cumulative Frequency = Sum of frequencies up to the current value

Range

Range = Maximum − Minimum

Frequency Distribution Example

Consider the following data:

2, 2, 3, 3, 3, 4, 5, 5

The value 2 occurs twice, 3 occurs three times, 4 occurs once, and 5 occurs twice.

Frequency of 2 = 2
Frequency of 3 = 3
Frequency of 4 = 1
Frequency of 5 = 2

The total frequency is 8, which equals the total number of observations in the original data set.

Types of Frequency Distribution

Simple Frequency Distribution

A simple frequency distribution lists individual values along with the number of times each value occurs.

Relative Frequency Distribution

A relative frequency distribution expresses each frequency as a proportion of the total number of observations.

Percentage Frequency Distribution

Percentage frequency converts relative frequencies into percentages, making comparisons easier.

Cumulative Frequency Distribution

Cumulative frequency shows the running total of observations up to each value in the distribution.

Why Use a Frequency Distribution?

A frequency distribution can simplify large data sets and make important patterns easier to recognize.

Identify Common Values

Frequency counts make it easy to see which observations occur most often.

Summarize Large Data Sets

Instead of examining every individual observation, a frequency table provides a compact statistical summary.

Support Data Visualization

Frequency distributions can be used as the basis for histograms, bar charts, and other statistical visualizations.

Frequently Asked Questions

A frequency distribution organizes data by showing how many times each unique value occurs.
Frequency is the number of times a particular value appears in a data set.
Relative frequency is the frequency of a value divided by the total number of observations.
Percentage frequency is calculated by dividing the frequency by the total number of observations and multiplying the result by 100.
Cumulative frequency is the running total of frequencies as the values progress from smallest to largest.
Yes. Decimal and negative numerical values are supported.
Yes. The calculator automatically sorts the values before creating the frequency distribution.
The total frequency should equal the total number of observations entered into the calculator.