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Free online average calculator

Mean, median, and mode each describe a data set's center differently. This calculator shows all three plus range, min, max, sum, and count for any list of numbers.

Mean (average)
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Median
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Mode
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Range
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Min
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Max
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Count
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Sum
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About this calculator

How to use

  1. Type or paste your numbers into the text area — commas, spaces, semicolons, or new lines all work as separators.
  2. Results update as you type.
  3. Use “Share with my numbers” to save or share the data set via URL.

Definitions and formulas

Mean: sum of all values divided by the count.

mean = (x₁ + x₂ + … + xₙ) / n

Median: the middle value of the sorted list. For an even count, average the two middle values.

Mode: the value(s) that appear most often. “None” if all values are unique.

Range: max − min.

Worked example

Data: 2, 4, 4, 4, 5, 5, 7, 9

  • Sorted: 2, 4, 4, 4, 5, 5, 7, 9
  • Count: 8 | Sum: 40
  • Mean: 40 / 8 = 5
  • Median: (4 + 5) / 2 = 4.5 (average of 4th and 5th values)
  • Mode: 4 (appears 3 times)
  • Range: 9 − 2 = 7

Notes

  • Non-numeric tokens (letters, symbols) are silently ignored.
  • Results are rounded to four decimal places.
  • Share URLs encode your data in the d query parameter — paste the URL to restore the same data set.

References

Frequently asked

What is the difference between mean, median, and mode?
The mean is the sum divided by the count. The median is the middle value when sorted. The mode is the value (or values) that appears most often.
When should I use median instead of mean?
Use the median when your data has outliers or is skewed. A single very large or small value pulls the mean away from the typical value but does not move the median.
What does it mean when there is no mode?
If every value appears exactly once, no value is more frequent than any other, so there is no mode. The calculator shows "None" in that case.
Can a data set have more than one mode?
Yes — if two or more values tie for the highest frequency, all of them are modes. This is called a bimodal or multimodal distribution.
How do I enter my numbers?
Paste or type numbers separated by commas, spaces, semicolons, or new lines. The calculator accepts any mix of those delimiters.
What is the range?
Range = max − min. It measures the spread of your data but is sensitive to outliers.

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