Cumulative Frequency Calculator

Work out cumulative frequency instantly with clear inputs, formula shown and shareable results.

About Cumulative Frequency Calculator

Cumulative frequency is the running total of the class frequencies, showing how many observations fall at or below each class boundary. Plotting it gives the ogive, from which medians and quartiles can be read off.

Formula

Cumulative frequency

Cᵏ = f₁ + f₂ + … + fᵏ

Worked example

With the default values below, Cumulative Frequency Calculator returns Cumulative frequency of 48. Change any input above and every figure here is recalculated in your browser.

Inputs used

Class frequencies: 5, 9, 14, 20, 8, 4
Cumulative total up to classaccepts 1–100: 4

Results

Cumulative frequency: 48
Cumulative percentage: 80.0000 %
Total frequency: 60
All cumulative frequencies: 5, 14, 28, 48, 56, 60

Step by step

1Values used
2Cumulative frequency
3Cumulative frequency= 48
4Cumulative percentage= 80.0000 %
5Total frequency= 60
6All cumulative frequencies= 5, 14, 28, 48, 56, 60

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax or fees or charges into account.
Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

For 5, 9, 14, 20, 8, 4 up to class 4?

5 + 9 + 14 + 20 = 48 out of 60, which is 80%.

How do I find the median from an ogive?

Read across at 50% of the total and drop down to the horizontal axis.