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Add Formula Column

Use columns A, B, etc. with +, -, *, /, ^, parentheses, log10, sin, cos, sqrt, or exp. sin and cos use radians.
Examples: A/100, sqrt(A^2+B^2), der(B,A), -der(B,A), tauc(direct-allowed). Tauc types: direct-allowed, direct-forbidden, indirect-allowed, or indirect-forbidden.

Cumulative Histogram

Cite This in Your Publication

Cumulative Histogram - InstaNANO. https://instanano.com/online-graph-plotter/graph-type/histogram-cumulative/ (accessed August 28th, 2026).

Create a Cumulative Histogram online with InstaNANO

The InstaNANO Graph Plotter can create a cumulative histogram directly in your browser. The interactive graph above is already initialized with example data. Replace those values with your own table, assign the supported column roles, adjust the graph settings, and inspect the result on the same page.

A cumulative histogram shows the running fraction of observations up to each bin. Use it when the question concerns the proportion of a sample below a threshold.

Required data columns and series controls

Column roleSupported layoutHow InstaNANO uses it
Y-axisOne or more numeric sample columnsEach enabled column is treated as one distribution or probability sample.

Each Y-axis Color and Name row defines one displayed sample. There is no X-axis input: the graph derives the horizontal position, probability, or category position from the values.

How to make this graph

  1. Start with the working example. Review the graph and table loaded above so the relationship between the columns and plotted marks is visible before you replace the values.
  2. Enter or paste your data. Keep the columns in the supported order shown in the table below the graph. Use the Axis row to assign each column’s role.
  3. Name and distinguish the series. Where the current graph supports them, use the Name row for the displayed series label and the Color row for its color.
  4. Check the scientific context. Add meaningful axis titles and units, review scale choices, and confirm that row order, missing values, uncertainty columns, or normalization match the intended interpretation.
  5. Refine and export. Use the available graph controls described below. When the figure is ready, sign in to export a PNG with Download Graph or preserve an editable .instanano file with Save Project.

What the loaded example demonstrates

The starter table contains two small hardness samples, “Alloy A” and “Alloy B”. It demonstrates separate numeric value columns and should not be used to infer a population distribution from the example alone.

What InstaNANO calculates and renders

The renderer forms equal-width bins, accumulates their counts from low to high values, and divides by the number of finite observations. The final cumulative value reaches one for the plotted domain.

The Bins control controls the cumulative intervals; finite numeric Y values are accumulated in ascending value order.

Scientific instruments and research data suited to this graph

Use it to inspect threshold exceedance, size-based yield, or how quickly an empirical sample accumulates across a measurement range.

Broad instrument and data coverage

  • Microscopy-derived populations: Particle, grain, pore, fiber, cell, droplet, or defect sizes; aspect ratios; circularity; orientation; spacing; and other numerical features extracted from SEM, TEM, STEM, AFM, optical, or confocal images.
  • Spectroscopy and diffraction features: Peak positions, widths, areas, intensity ratios, chemical shifts, binding energies, lifetimes, and other values extracted from repeated XRD, Raman, FTIR, UV–visible, PL, XPS, NMR, EELS, or EDS measurements.
  • Surface, dimensional, and thermal measurements: Roughness, height, thickness, dimensional deviation, transition temperature, mass loss, heat-flow metrics, and local temperature values collected across samples or locations.
  • Mechanical, electrical, electrochemical, and transport properties: Hardness, strength, modulus, conductivity, resistance, capacity, efficiency, diffusivity, permeability, and replicate device or specimen measurements.
  • Reliability, process, biological, and computational samples: Failure times, cycle life, reaction yields, sensor readings, assay values, population measurements, Monte Carlo outputs, residuals, and parameter ensembles.

Representative questions for this exact graph

  • The fraction of particles below a specified size threshold.
  • Cumulative yield or quality compliance across a measured property range.
  • Failure-time or strength observations inspected as a binned cumulative fraction.

This coverage is not limited to the instruments named above. InstaNANO can plot other experimental, microscopy-derived, computational, simulation, and processed research data when the required column roles are present and this graph’s encoding is scientifically appropriate.

Data checks before interpretation

  • Retain the sample size and units for every numeric column.
  • Inspect missing, censored, rounded, or excluded observations before interpreting a derived distribution summary.

Frequently asked questions about Cumulative Histogram

Is a cumulative histogram the same as an exact ECDF?

The result remains bin-dependent and is not the exact empirical cumulative distribution. Threshold decisions near a bin edge should be checked against the underlying data.

Can I plot data from instruments or research workflows not listed here?

Yes. The instrument and dataset examples on this page are representative rather than a fixed compatibility list. InstaNANO can create a cumulative histogram from other experimental, computational, simulation, and processed research data when the table follows these roles: Y-axis (one or more numeric sample columns). Microscopy use refers to numeric profiles, coordinates, dimensions, counts, intensities, distributions, or map values extracted from images; the graph does not convert a raw micrograph into numerical data.

Can I use this cumulative histogram in a publication, thesis, report, poster, or presentation?

Yes, after scientific and visual review. InstaNANO can be used to prepare a cumulative histogram for a journal manuscript, thesis or dissertation, technical report, poster, conference slide, classroom presentation, or other formal scientific communication. After sign-in, Download Graph exports a PNG, defaults to 600 dpi, and offers a transparent-background option. For this graph, report sample size, units, exclusions, censoring, and the descriptive or diagnostic calculation represented by the graph. Also check final dimensions, font size, line and symbol weight, color accessibility, caption content, and the destination’s required file format. The current export is PNG, so a journal that requires TIFF, EPS, PDF, SVG, or another format needs a journal-specific workflow. InstaNANO supports figure preparation, but it cannot guarantee that a journal, conference, institution, or publisher will accept a figure.

Choose ECDF for a bin-free cumulative curve, or Probability Histogram to show the fraction in each interval rather than the running total.

Plot your data or compare graph types

Edit the loaded Cumulative Histogram example above to test your own values. If this encoding does not match the scientific question, compare the complete graph-type directory or return to the online graph plotter.

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