Mode
Most frequent value.
What does Mode mean?
The mode is the value that appears most frequently in a data set. Unlike the mean (average) or median (middle value), the mode identifies the most common observation. A data set can have one mode (unimodal), two modes (bimodal), or more than two modes (multimodal). If every value appears the same number of times, some definitions consider the data set to have no mode. The mode is particularly useful for categorical data where calculating a mean is not possible.
How to calculate Mode
To find the mode, count how many times each value appears in the data set and identify the value(s) with the highest frequency. For example, in the set {1, 2, 2, 3, 3, 3, 4}, the value 3 appears three times — more than any other value — so the mode is 3. If two values tied for the highest frequency, such as {1, 2, 2, 3, 3, 4}, both 2 and 3 would be modes (bimodal).
FAQ
If no value repeats, every value has a frequency of 1 and technically all values are modes. In practice, such a data set is often described as having no mode because no single value stands out as more common than the others.
Yes. When two values share the highest frequency, the data is bimodal. When three or more values share the highest frequency, it is multimodal. This calculator identifies all modes and indicates whether the result is multimodal.
The mode is especially useful for categorical or non-numeric data (e.g., "most popular color") where mean and median cannot be calculated. It is also helpful for identifying peaks in distributions and is unaffected by extreme outliers.
In a perfectly symmetric distribution, the mean, median, and mode are all equal. In a skewed distribution, they differ. The mode marks the peak of the distribution, the median marks the center, and the mean is pulled toward the tail. Together, they give a more complete picture of the data.
No. Because the mode depends only on frequency — not magnitude — extreme values (outliers) do not affect it. This makes the mode a robust measure of central tendency for skewed or heavy-tailed data.
Related calculators
- Mean— Average value.
- Median— Middle value.
- Standard Deviation— Spread of values.
- Variance— Squared dispersion measure.