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Mode Calculator

Determine the most frequently occurring value or values in a collection of data. Identifies single modes, bimodal distributions, multimodal sets, or equal-frequency samples with exact occurrences.

Statistical Mode: None

Enter numbers separated by commas, spaces, or tabs

Statistical Mode
None

How to Use This Calculator

  1. Enter or paste numbers separated by commas or spaces.
  2. View the identified mode value or values.
  3. Check the peak frequency count and unique value tally.

Formula & Calculation Methodology

Mode = argmax_{x} [Frequency(x)]

The mode is the element x that maximizes the frequency function f(x). When two or more values tie for the top frequency, the sample is bimodal or multimodal.

ModeMost frequently appearing observation
Frequency(x)Occurrence count of element x

Worked Example

Evaluating 3, 7, 7, 12, 15, 15, 15, 22

numbers: 3, 7, 7, 12, 15, 15, 15, 22
Result: Mode: 15 (Frequency: 3 occurrences)

Evaluating bimodal dataset 1, 2, 2, 3, 4, 4, 5

numbers: 1, 2, 2, 3, 4, 4, 5
Result: Mode: 2, 4 (Frequency: 2 occurrences each)

Frequently Asked Questions

Can a dataset have more than one mode?↓

Yes. If two values share the highest frequency, the dataset is bimodal. If three or more tie, it is multimodal.

What occurs if all numbers appear only once?↓

When all numbers appear with equal frequency (1 time each), there is strictly no statistical mode, as no value exhibits clustering.

Is the mode applicable to categorical or discrete data?↓

Yes. In fact, the mode is the only measure of central tendency that works for non-numerical categorical labels (e.g. most popular shoe size or color).

What is a limitation of the mode in continuous datasets?↓

In truly continuous physical measurements (e.g. exact weights to 6 decimal places), identical repeats rarely occur unless data is binned.

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Source Citation & Disclaimer

Informational tool only; not licensed tax, legal, or financial advice.