Quick answer
The mode is the most frequent value. In 1, 2, 2, 3, 3, 4 both 2 and 3 appear twice, so the data are bimodal with modes 2 and 3.
Enter a list of numbers separated by commas or spaces. The calculator returns the mode(s).
Related tools: Mean Median Mode Calculator: Mean, median and mode of a data set. Mean Median Mode Range Calculator: Mean, median, mode and range of a data set. Standard Deviation Calculator: Sample or population standard deviation with variance and mean.
How to use the Mode Calculator
- Type data set, for example 4, 8, 15, 16, 23, 42.
- Press Calculate to see the result, and use Reset to start again.
| Input | What to enter | Allowed values |
|---|---|---|
| Data set | Text, such as 4, 8, 15, 16, 23, 42 | — |
Formula and method
Formula
most frequent value(s)
IEEE-754 double precision; shown to at most 6 decimal places.
Computed directly from the sorted or raw values.
Worked examples
These examples are verified: each one is an automated test case that the live calculator must reproduce exactly.
Example 1
Inputs: Data set = 1 2 2 3 3 4.
| Result | Value |
|---|---|
| Mode | 2, 3 |
Example 2
Inputs: Data set = 5 5 5 1.
| Result | Value |
|---|---|
| Mode | 5 |
Example 3
Inputs: Data set = 1 2 3.
| Result | Value |
|---|---|
| Mode | None |
The first line is the headline result (mode). IEEE-754 double precision; shown to at most 6 decimal places.
Several modes
All tied values are listed. A set with no repeats has no mode. The mode is the only average that works for categories such as colours or shoe sizes.
Use
Retailers stock the modal size. The mode need not be near the centre of numeric data. At least one value is needed.
Ties, categories and continuous data
In 1, 2, 2, 3, 3, 4 the values 2 and 3 each appear twice, so both are modes and the data is bimodal. Textbooks differ on data in which every value appears once: some say there is no mode, others say every value is one, so follow your course's convention.
The mode is the only common average that works for categories, such as the most frequent shoe size or product colour. For precise measurements such as 71.234 kg, repeats are rare, so group the data into ranges first.
What happens with invalid input
These messages are produced by the calculator itself, so you know what to fix.
- Data set: left empty shows "Enter data set." beside that field and no result.
Choosing between the Mode Calculator and similar calculators
Each row shows what a related calculator on this site asks for and what it returns, so you can pick the one that matches your question.
| Calculator | You enter | It returns |
|---|---|---|
| [Mean Median Mode Calculator](/statistics/mean-median-mode-calculator/) | data set | Mean |
| [Mean Median Mode Range Calculator](/statistics/mean-median-mode-range-calculator/) | data set | Mean |
| [Standard Deviation Calculator](/statistics/standard-deviation-calculator/) | data set and data type | Population standard deviation (σ) |
| [Z-Score Calculator](/statistics/z-score-calculator/) | value, mean and standard deviation | Z-score |
| [Median Calculator](/statistics/median-calculator/) | data set | Median |
Background: descriptive statistics
Population statistics divide by n and sample statistics divide by n − 1 (Bessel's correction), because a sample tends to understate variability. Use the population version when your data is every value in the group, and the sample version when it is a subset.
Defaults differ between tools, and so do quartile conventions, which can give slightly different values for small data sets; this page states the method it uses.
Assumptions and limitations
- At least one value
If a required value is empty, not a number, or outside its allowed range, the form marks that field with a message and shows no result instead of a misleading number. The automated checks deliberately try invalid entries for data set to confirm this.
Frequently asked questions
Can data have no mode?
Yes. If every value occurs once, there is no mode.
What is bimodal?
Bimodal data have two values tied for the highest frequency, often hinting at two groups in the data.
Is mode affected by outliers?
No. The mode depends only on frequency, so an extreme value does not change it.
Can the mode be used for words or categories?
Yes. The mode only needs counts, so it applies to labels such as colours or sizes, where a mean or median would be meaningless.
Why is the mode not useful for most measurements?
Exact repeats are unlikely in precise measurements, so group the values into bins and look at the most common bin instead.
What does the Mode Calculator calculate?
Mode of a data set. It returns Mode.
What formula does the Mode Calculator use?
most frequent value(s). Computed directly from the sorted or raw values.
What is an example of a mode result?
With data set 1 2 2 3 3 4, the mode is 2, 3.
Related calculators
- Mean Median Mode Calculator — Mean, median and mode of a data set.
- Mean Median Mode Range Calculator — Mean, median, mode and range of a data set.
- Standard Deviation Calculator — Sample or population standard deviation with variance and mean.
- Z-Score Calculator — Standardize a value using a mean and standard deviation.
- Median Calculator — Median of a data set.
- Relative Standard Deviation Calculator — Relative standard deviation (RSD) as a percentage.
Sources
- OpenStax, Introductory Statistics 2e (Rice University): measures of center and spread, correlation and regression
- NIST/SEMATECH e-Handbook of Statistical Methods (nist.gov), Exploratory Data Analysis chapter
Content last reviewed 2026-11-04. Formulas and worked examples are checked by automated tests against independently computed values.