Calculate Cumulative Frequencies with Step-by-Step Derivation
Enter data values (comma separated)
Results
Total Observations
Median
Min / Max
Cumulative Frequency Distribution
Value
Frequency
Cumulative
Cum %
Step-by-Step Derivation
Cumulative Frequency Formula
CF₁ = f₁
CFᵢ = CFᵢ₋₁ + fᵢ
Cumulative % = (CF / n) × 100%
Add each frequency to the previous cumulative total to get cumulative frequency.
⚠Cumulative frequency shows how many observations are less than or equal to a particular value.
What is Cumulative Frequency?
Cumulative frequency is the running total of frequencies in a frequency distribution. It shows how many observations fall below or at a particular value.
Running Total
Add each frequency to previous cumulative total
Percentiles
Used to find medians, quartiles, and percentiles
Ogive Graph
Plotted as an ogive (S-shaped curve)
Data Distribution
Shows how data accumulates across values
💡 Example: Data [5,3,7,5,9,3,5,7,3,5]. Value 3 appears 3 times, value 5 appears 4 times (cumulative 7), etc.
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