Mode Calculator
Find the mode(s) of any dataset with a complete frequency distribution table, visual bar chart, and automatic distribution type classification — unimodal, bimodal, multimodal, or amodal. Ideal for statistics, data science, surveys, and educational analysis.
12 values parsed
One value appears more often than all others.
▶Sorted values (12)
Violet highlight = mode value
What Is the Mode?
The mode is the value that occurs most frequently in a dataset. It is one of the three fundamental measures of central tendency — alongside the mean and median. Unlike those two, the mode requires no arithmetic: you simply identify the most popular value. A dataset can have zero, one, or multiple modes.
| Distribution | Description | Example |
|---|---|---|
| Amodal | No mode — all values equally frequent | {1, 2, 3, 4, 5} |
| Unimodal | One mode — single most frequent value | {1, 2, 2, 3, 4} → mode = 2 |
| Bimodal | Two modes — tie for highest frequency | {1, 1, 2, 3, 3} → modes = 1, 3 |
| Multimodal | Three+ modes — multiple peaks in distribution | {1,1,2,2,3,3,4} → modes = 1,2,3 |
How to Use This Calculator
- 1Enter your numbersType or paste values separated by commas, spaces, or newlines. Use any of the 5 sample presets to explore the tool instantly. Up to 10,000 values supported.
- 2Read the mode(s)The violet hero card shows all modes. Multiple values appear side-by-side for bimodal or multimodal datasets. 'No Mode' means all values appear equally often.
- 3Check the distributionThe badge identifies whether your data is Unimodal, Bimodal, Multimodal, or Amodal, with a plain-English explanation of what that means for your dataset.
- 4Explore the frequency tableEvery unique value is shown with its count and relative frequency, visualised as a proportional bar. Mode values are highlighted in violet with a ★. Switch between sorting by count or by value.
- 5Compare with mean & medianThe Descriptive Statistics panel shows mean, median, standard deviation, min, max, and range — giving you full central-tendency context alongside the mode.
How It Works
Finding the Mode
Count each value's occurrences
Mode = value(s) with highest count
If all counts equal → no modeCount how many times each unique value appears. The value (or values) with the maximum frequency is the mode. If every value appears the same number of times, the dataset is amodal.
Relative & Cumulative Frequency
Rel. Freq. = (count ÷ n) × 100%
Cumulat. = running sum of rel. freq.Relative frequency (%) shows each value's contribution to the whole. Cumulative frequency accumulates from the smallest value upward — useful for understanding percentile positions and distribution shape.
Distribution Classification
modes.length === 0 → Amodal
modes.length === 1 → Unimodal
modes.length === 2 → Bimodal
modes.length >= 3 → MultimodalAfter finding all modes, the count of modes determines the distribution type. Bimodal distributions often signal two subpopulations. Multimodal results are common in survey Likert scales and categorical data.
Mode vs Mean vs Median
Symmetric: Mode ≈ Median ≈ Mean
Right-skewed: Mode < Median < Mean
Left-skewed: Mean < Median < ModeThe relationship between mode, median, and mean reveals the skewness of a distribution. Income data (right-skewed) has a mode far below the mean. Olympic judged sports (trimmed mean) remove outliers to make results closer to the mode.
Worked Examples
Example 1 — Unimodal (Test Scores)
72, 88, 91, 65, 78, 83, 90, 76, 78, 84, 69, 78- Count each score's occurrences
- 78 appears 3 times — all others appear once
- Single highest frequency → unimodal
- Mode = 78
Example 2 — Bimodal Distribution
2, 3, 3, 3, 5, 7, 7, 7, 9, 10- 3 appears 3 times
- 7 appears 3 times
- Both tie for the highest frequency
- Modes = 3 and 7 (bimodal)
Example 3 — Likert Survey (1–5 scale)
4, 5, 3, 5, 4, 5, 4, 3, 5, 4, 2, 5, 4, 3, 5- 5 appears 6 times — highest
- 4 appears 5 times
- 3 appears 3 times
- Mode = 5 (most chosen rating)
Example 4 — No Mode (Amodal)
10, 20, 30, 40, 50- Each value appears exactly once
- No value has greater frequency than others
- No mode exists
- Distribution is amodal
Frequently Asked Questions
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