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Mode Calculator

Math & Statistics Calculators

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

Mode
78
Unimodalappears 3× out of 12

One value appears more often than all others.

Frequency Distribution
ValueFrequencyCountRel. %
78★
325.0%
65
18.3%
69
18.3%
72
18.3%
76
18.3%
83
18.3%
84
18.3%
88
18.3%
90
18.3%
91
18.3%
Total: 12Unique values: 10
Descriptive Statistics
Count
12
Unique
10
Min
65
Max
91
Range
26
Mean
79.33
Median
78
Std Dev
7.867
▶Sorted values (12)
656972767878788384889091

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.

Mean
Sum ÷ count
Symmetric data, test scores
Median
Middle sorted value
Skewed data, resistant to outliers
Mode
Most frequent value
Categorical data, frequency peaks
DistributionDescriptionExample
AmodalNo mode — all values equally frequent{1, 2, 3, 4, 5}
UnimodalOne mode — single most frequent value{1, 2, 2, 3, 4} → mode = 2
BimodalTwo modes — tie for highest frequency{1, 1, 2, 3, 3} → modes = 1, 3
MultimodalThree+ modes — multiple peaks in distribution{1,1,2,2,3,3,4} → modes = 1,2,3
Key insight: In a symmetric (normal) distribution, Mode ≈ Median ≈ Mean. In right-skewed data, Mode < Median < Mean. In left-skewed data, Mean < Median < Mode.

How to Use This Calculator

  1. 1
    Enter your numbers
    Type 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.
  2. 2
    Read 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.
  3. 3
    Check the distribution
    The badge identifies whether your data is Unimodal, Bimodal, Multimodal, or Amodal, with a plain-English explanation of what that means for your dataset.
  4. 4
    Explore the frequency table
    Every 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.
  5. 5
    Compare with mean & median
    The 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 mode

Count 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 → Multimodal

After 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 < Mode

The 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
  1. Count each score's occurrences
  2. 78 appears 3 times — all others appear once
  3. Single highest frequency → unimodal
  4. Mode = 78
Mode: 78 · Freq: 3/12 (25%) · Unimodal

Example 2 — Bimodal Distribution

2, 3, 3, 3, 5, 7, 7, 7, 9, 10
  1. 3 appears 3 times
  2. 7 appears 3 times
  3. Both tie for the highest frequency
  4. Modes = 3 and 7 (bimodal)
Modes: 3, 7 · Freq: 3/10 each · Bimodal

Example 3 — Likert Survey (1–5 scale)

4, 5, 3, 5, 4, 5, 4, 3, 5, 4, 2, 5, 4, 3, 5
  1. 5 appears 6 times — highest
  2. 4 appears 5 times
  3. 3 appears 3 times
  4. Mode = 5 (most chosen rating)
Mode: 5 · Freq: 6/15 (40%) · Unimodal

Example 4 — No Mode (Amodal)

10, 20, 30, 40, 50
  1. Each value appears exactly once
  2. No value has greater frequency than others
  3. No mode exists
  4. Distribution is amodal
No mode · All frequencies = 1 · Amodal

Frequently Asked Questions

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Explore This Tool in Context

Mode Calculator is part of the Math & Statistics Calculators collection. If you want a broader view of similar workflows, open the Math & Statistics Calculators category page or browse all QuickTools categories.

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