Mode Calculator
Find the most frequent value or values in a data set.
Last updated · View algorithm, constants and default inputs (JSON)
Numbers (comma, semicolon or space separated)
About this calculator
The mode is the numeric value or values that occur most often. This calculator accepts number lists only; when every value occurs once, it reports that there is no repeated mode.
Worked example
calculated with the default values below
Numbers (comma, semicolon or space separated) 2, 4, 4, 4, 5, 5, 7, 8, 8, 8, 9 Mode(s) 4, 8 · Highest frequency 3 · Distinct values 6 · Total values 11
General background references
Disclaimer
These calculators give general mathematical results. They suit study, planning and estimation — verify anything that feeds a graded submission, a published figure or a financial commitment.
Implementation source
This record describes the implementation used by this page. It is not independent validation. External references, when available, support only the stated formula or definition; estimates and custom rules retain their own assumptions.
Formula and variables
mode = argmaxₓ f(x), f(x) = Σᵢ 1{xᵢ = x}
- mode
- most frequent value
- f(x)
- frequency of x
- x
- entered values
- xᵢ
- i-th entered value
Accepts a comma-, semicolon-, or whitespace-separated list of up to 10,000 finite numbers. Empty entries and nonnumeric tokens are invalid. Every value tied for the maximum frequency is returned; if all values occur once, there is no repeated mode.
Frequently asked questions
What if several values tie for the highest frequency?
The result lists every tied mode. If all values occur equally often, there is no unique mode; use the frequency and distinct-value count to interpret the data.