Frequency Distribution Calculator
Build ungrouped or grouped frequency tables with cumulative frequency, mean, median, mode, and bar chart visualization.
What Is a Frequency Distribution?
A frequency distribution shows how often each value (or range of values) appears in a dataset. It summarizes raw data into a table or chart so you can spot clusters, gaps, and outliers quickly. Pair it with the Descriptive Statistics Calculator or Dot Plot Calculator for deeper analysis.
Ungrouped vs Grouped Frequency
Ungrouped distributions count each unique value separately. Grouped distributions bucket values into equal-width intervals, useful when data has many distinct values or continuous measurements.
Cumulative Frequency
Cumulative frequency adds the current count to all previous counts. It shows how many observations fall at or below each value (ungrouped) or within each range and all ranges below it (grouped).
Frequently Asked Questions
What is cumulative frequency?
Cumulative frequency is the running total of frequencies up to and including the current row. It tells you how many data points are at or below a given value or range boundary.
When should I use grouped frequency distribution?
Use grouped distribution when you have many unique values or continuous data. Bucketing into ranges makes patterns easier to see. Ungrouped works best for small datasets with few distinct values.
How do I find the mode from a frequency table?
The mode is the value (or range) with the highest frequency. If two values tie for the highest count, the dataset is multimodal.
What statistics can I derive from frequency data?
From the raw values you can compute mean, median, mode, variance, and standard deviation. The frequency table itself reveals the shape and spread of the distribution.
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