Mean, Median, Mode & Range Calculator

➕ Mean (Average)

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🎯 Median

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🔁 Mode

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📏 Range

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📊 Additional Stats

Count–
Sum–
Min / Max–
Sorted Data–

What Are Mean, Median, Mode, and Range?

These four measures describe a data set from different angles: the mean is the arithmetic average, the median is the middle value, the mode is the most frequent value, and the range is the spread between the smallest and largest values.

How to Use This Calculator

  1. Enter your numbers, separated by commas or spaces.
  2. All four measures calculate instantly, along with additional statistics.

Formulas

Mean
Mean = Sum of all values ÷ Count of values
Median
Middle value when sorted (average of two middle values if count is even)
Range
Range = Maximum value − Minimum value

Worked Example

Example: 4, 8, 6, 5, 3, 8, 9, 8, 2

Sorted: 2, 3, 4, 5, 6, 8, 8, 8, 9

Mean: (4+8+6+5+3+8+9+8+2) / 9 = 53/9 ≈ 5.89

Median: the middle (5th) value = 6

Mode: 8 (appears 3 times, more than any other value)

Range: 9 − 2 = 7

Understanding Your Results

Mean is sensitive to outliers — one very large or small value can pull it significantly. Median is more resistant to outliers since it only depends on the middle position(s). Mode highlights the most common value, useful for categorical or repeated data. Range gives a quick sense of overall spread, though it only considers the two extreme values.

When to Use Each Measure

  • Use mean for a balanced overall average when data doesn't have extreme outliers.
  • Use median when data has outliers or is skewed (e.g., income data, home prices).
  • Use mode for identifying the most common category or value.
  • Use range as a quick, rough measure of spread — standard deviation gives a more complete picture.

Common Mistakes to Avoid

  • Using mean when data has significant outliers that skew the result.
  • Forgetting that a data set can have more than one mode (bimodal or multimodal) or no mode at all if every value is unique.
  • Confusing range (a single number) with the full spread of the distribution.

Frequently Asked Questions

Mean is the arithmetic average of all values; median is the middle value when the data is sorted. Median is less affected by extreme outliers than mean.

Yes — if two or more values tie for the highest frequency, the data set is bimodal or multimodal. If every value appears only once, there's no mode.

Average the two middle values after sorting the data set.

Income distributions often have a small number of very high earners that pull the mean upward, making median a more representative "typical" value.

A large range suggests high variability or the presence of outliers in the data set, though it only reflects the two extreme values, not the overall spread.