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Mode Calculator

The mode is the value that appears most frequently within a dataset. Unlike the mean and median, a dataset can have one mode (unimodal), two modes (bi

Mathematics
Enter numerical data to discover the most frequent value(s).
Formula & Methodology
Mode = value(s) with max(Frequency(x)) Condition for "No Mode": Frequency(x) is equal for all x

To determine the mode: 1. Tally how many times each distinct value occurs within the dataset. 2. Identify the highest frequency count achieved by any value. 3. If the highest count is 1, or if every distinct value occurs the exact same number of times, there is No Mode. 4. Otherwise, all values sharing the highest occurrence count are published as the mode(s).

Mode Value(s) — Frequency: 3

12

Overview

The mode is the value that appears most frequently within a dataset. Unlike the mean and median, a dataset can have one mode (unimodal), two modes (bimodal), multiple modes (multimodal), or no mode at all if every value occurs with equal frequency. This free Mode Calculator tallies occurrences and identifies all modes instantly.

The mode is widely applied in retail inventory planning (identifying the most popular shoe size or shirt color), web analytics (finding peak traffic times), and epidemiology (pinpointing the most common incubation period of a virus).

Worked Examples

Example 1: Unimodal Dataset [4, 7, 7, 9, 12, 12, 12, 15]

Dataset: 4, 7, 7, 9, 12, 12, 12, 15

  1. Frequencies: 4 (1×), 7 (2×), 9 (1×), 12 (3×), 15 (1×).
  2. Max frequency is 3, achieved by value 12.
  3. The mode is 12.
Final Answer: 12 (Appears 3 times)

Example 2: Bimodal Dataset [10, 10, 15, 20, 20, 25]

Dataset: 10, 10, 15, 20, 20, 25

  1. Both 10 and 20 appear 2 times each.
  2. All other values appear only once.
  3. The dataset is bimodal with modes 10 and 20.
Final Answer: 10, 20 (Bimodal)

Example 3: No Mode Dataset [1, 2, 3, 4, 5]

Dataset: 1, 2, 3, 4, 5

  1. Every number appears exactly once.
  2. No number is more frequent than any other.
  3. Conclusion: No mode exists.
Final Answer: No Mode

How to Use This Calculator

  1. Enter your dataset separated by spaces or commas.
  2. Click "Calculate" to generate the frequency table.
  3. View the identified mode(s), occurrence count, and classification below.
  4. Click "Reset" to analyze a new series of numbers.

Reference Table

DatasetFrequenciesMode(s)Classification
1, 2, 2, 32 appears 2×2Unimodal
5, 5, 8, 8, 95 and 8 appear 2×5, 8Bimodal
1, 2, 3, 4All appear 1×No ModeNo Mode
7, 7, 7, 97 appears 3×7Unimodal
2, 2, 4, 4, 6, 6All appear 2×No ModeEqual Frequency

Frequently Asked Questions

Can a dataset have more than one mode?
Yes. If two values tie for the highest frequency, the dataset is bimodal. If three or more tie, it is multimodal.
Can categorical (non-numeric) data have a mode?
Yes! Mode is unique among measures of central tendency because it works on nominal categories (e.g. the most popular car color).
When is there "No Mode"?
When all numbers appear with equal frequency (for example, if every number appears exactly once or every number appears exactly twice).
How is the mode used in business inventory?
Stores order stock based on the mode because stocking the average shoe size (e.g. size 9.3) is impossible—they must order the most common integer size.
Can the mode equal the mean and median?
Yes. In a symmetrical normal distribution (such as adult heights), the mean, median, and mode coincide at the exact center.

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Reviewed & Authored by: Dr. Elizabeth Vance, PhD Applied Mathematics · Last Updated: 2026-10-06
Computed via linear frequency histogram mapping and multi-key hash tabulation.