Frequency Polygon Calculator

Create, compare, and interpret frequency polygons with flexible bins, advanced statistics, machine learning diagnostics, interactive charts, and convenient export tools for every dataset confidently.

Frequency Polygon Results

The graph, frequency table, statistics, and ML diagnostics update after calculation.

Frequency Distribution Table

Dataset Statistics

Dataset Comparison and Distribution Shift

Exportable Result Summary


      

1. Data Source

Numeric columns become datasets in raw mode.

2. Raw Datasets

Use commas, spaces, tabs, semicolons, or new lines. Blank and invalid values can be ignored.

2. Grouped Intervals

Enter class limits and non-negative frequencies. Midpoints and boundaries are calculated automatically.

Lower limitUpper limitFrequencyDatasetAction

3. Class and Processing Settings

4. Graph Customization

5. Distribution Diagnostics

The calculator reports Jensen–Shannon divergence, Population Stability Index, approximate Kolmogorov–Smirnov distance, mean shifts, overlap, and class-frequency differences.

Export and Sharing

Formula Used

Class midpoint = (Lower limit + Upper limit) / 2
Relative frequency = Class frequency / Total frequency
Percentage frequency = Relative frequency × 100
Frequency density = Frequency / Class width

How to Use

  1. Select raw values or grouped class intervals.
  2. Enter one or more datasets, or upload a CSV file.
  3. Choose an automatic bin rule or custom class settings.
  4. Select the displayed frequency type and preprocessing options.
  5. Customize the chart and distribution diagnostics.
  6. Calculate, inspect warnings, then export the graph and tables.

Example Data Table

DatasetExample valuesML interpretation
Training confidence0.42, 0.51, 0.63, 0.71, 0.82, 0.93Model confidence distribution during training.
Validation confidence0.31, 0.44, 0.56, 0.64, 0.72, 0.84Comparison with unseen validation observations.
Anomaly scores0.05, 0.08, 0.11, 0.14, 0.60, 0.91Sparse high-score intervals may indicate anomalies.

Frequency Polygons in Machine Learning

A frequency polygon connects class midpoint frequencies with straight segments. It makes distribution shapes easier to compare. Multiple datasets remain readable on one chart.

Machine learning teams use polygons for feature inspection and drift checks. Training and testing distributions can be compared quickly. Unexpected gaps may reveal sampling problems.

A histogram emphasizes filled class areas, while polygons emphasize shape. Frequency polygons also support overlapping datasets clearly. This makes model diagnostics more compact.

Frequently Asked Questions

What is a frequency polygon?

It is a line graph joining frequencies plotted at class midpoints.

Why are zero-frequency endpoints useful?

They visually close the polygon at both ends of the distribution.

Which bin rule should I choose?

Sturges suits general data, while Freedman–Diaconis handles skew and outliers better.

Can unequal class widths be used?

Yes, but frequency density usually provides a fairer comparison.

Can I compare training and testing data?

Yes. Add both datasets and use shared intervals for direct comparison.

What does PSI indicate?

Population Stability Index measures distribution change between a reference and comparison dataset.

What does Jensen–Shannon divergence indicate?

It measures how different two probability distributions are using a symmetric score.

How are invalid values handled?

They can be ignored automatically or treated as calculation-stopping errors.

Can CSV columns become separate datasets?

Yes. Each numeric CSV column is imported as a named dataset.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.