What is a frequency distribution?

A frequency distribution organizes data into a table showing how often each value or range of values occurs. It's the foundation for understanding data patterns.

What's the difference between grouped and ungrouped data?

Ungrouped data lists individual values with their frequencies. Grouped data organizes values into class intervals (ranges), useful for continuous data or large datasets.

How do I choose the number of classes?

Use Sturges' formula: k = 1 + 3.322 × log(n). For n=100, this suggests about 8 classes. Typically 5-20 classes work well depending on data variability.

What is relative frequency?

Relative frequency = class frequency ÷ total observations. It shows the proportion (or percentage) of data in each class, summing to 1 (or 100%).

What is cumulative frequency?

Cumulative frequency is the running total of frequencies up to each class. It shows how many observations fall at or below each class boundary.

How do I find the mode from a frequency distribution?

The mode is the value (or class) with the highest frequency. A distribution can be unimodal (one mode), bimodal (two modes), or multimodal.

Frequency Distribution Calculator

Create frequency distribution tables for grouped and ungrouped data with statistics

Data Input

Enter Data (comma or space separated)

Distribution Type

Load Example:

Results

Enter data and click calculate to see the frequency distribution

Understanding Frequency Distributions

Types of Frequency Distributions

Ungrouped: Lists each unique value with its frequency
Grouped: Organizes data into class intervals (bins)
Relative: Shows frequency as a proportion or percentage
Cumulative: Shows running total of frequencies

Key Terms

Class Width: Range ÷ Number of classes
Class Midpoint: (Lower + Upper) ÷ 2
Class Boundaries: Actual limits of each class
Modal Class: Class with highest frequency

Related Calculators

Normal CDF Calculator Hypothesis Testing Geometric Mean Sum of Squares

About Frequency Distribution Calculator - Data Analysis

Create frequency distribution tables for grouped and ungrouped data. Calculate relative frequencies, cumulative frequencies, and class intervals.

Our **Frequency Distribution Calculator** organizes your raw data into meaningful frequency tables. Whether you have ungrouped data or need to create class intervals, this tool calculates frequencies, relative frequencies, and cumulative frequencies. For related analysis, see our Geometric Mean Calculator.

A frequency distribution shows how often each value or range of values occurs in your dataset. This is essential for understanding data patterns, identifying outliers, and preparing for further statistical analysis like hypothesis testing.

The calculator supports both discrete data (individual values) and continuous data (class intervals). You can customize the number of classes and view statistics like mean, median, mode, variance, and standard deviation.

Key Features

Ungrouped frequency tables

Grouped data with class intervals

Relative frequency calculation

Cumulative frequency

Statistical measures (mean, median, mode)

Variance and standard deviation

Why Use This Tool?

Understand data distribution

Identify patterns and outliers

Prepare for further analysis

Create statistical reports

Educational tool for statistics

Common Use Cases

Education: Analyzing test scores distribution.

Business: Customer purchase frequency analysis.

Research: Organizing survey response data.

Quality Control: Monitoring production measurements.

How to Use

Enter your data values separated by commas

Choose ungrouped or grouped mode

Set number of classes for grouped data

Click Calculate

View frequency table and statistics