Frequency Polygon Calculator
Build frequency polygon and cumulative ogive charts from data with summary statistics.
What Is a Frequency Polygon?
A frequency polygon is a line chart that connects points representing each value and its frequency in a dataset. Unlike a histogram, it uses lines instead of bars, making trends and peaks easier to compare across values. Use it alongside the Frequency Distribution Calculator or Dot Plot Calculator for a fuller picture of your data.
Frequency Polygon vs Ogive
A frequency polygon plots each value against its raw count. A cumulative frequency polygon, also called an ogive, plots each value against the running total of frequencies up to that point. The ogive shows how data accumulates and helps estimate medians and percentiles visually.
When to Use a Frequency Polygon
Frequency polygons work best with ungrouped data where each distinct value has a clear count. They are ideal for comparing two or more distributions on the same scale, spotting modes, and seeing the overall shape of discrete data without the visual weight of bars.
Frequently Asked Questions
What is the difference between a frequency polygon and a histogram?
A histogram uses bars to show frequency within class intervals. A frequency polygon connects line segments between midpoints (or values) and their frequencies, giving a smoother view of the distribution shape.
What is a cumulative frequency ogive?
An ogive is a cumulative frequency polygon. Each point shows how many observations fall at or below a given value. The curve rises from left to right and reaches the total sample size at the highest value.
Can I use a frequency polygon with grouped data?
Frequency polygons are traditionally drawn from grouped class midpoints. This tool focuses on ungrouped data where each unique value is plotted directly. For grouped intervals, use the Frequency Distribution Calculator with grouped mode.
How do I find the mode from a frequency polygon?
The mode is the value at the highest peak of the polygon. In the frequency table, it is the value with the largest count. If two values share the highest frequency, the dataset is multimodal.
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