Enter a list of numbers to find the mean (average), median, mode, and range - the key summary statistics for any data set.
Average Calculator
LiveMean (average)
16.71
Median
15
Mode
15
Range (highest minus lowest) is shown alongside the main results below.
Range: 10
The formulas
Mean = sum of all numbers / count of numbers
Median = the middle value when sorted (average of the two middle values if count is even)
Mode = the value(s) that appear most often
Range = highest value - lowest value
Example
Data: 12, 15, 20, 15, 18, 15, 22. Mean ≈ 16.71, median = 15, mode = 15 (appears three times), range = 22 - 12 = 10.
Step-by-step guide
- Enter your numbers, separated by commas.
- Read the mean, median, mode, and range - each tells you something different about the data.
Common mistakes
Relying only on the mean when data has outliers - a single very high or low number can pull the mean away from what "typical" looks like. The median is often more representative in that case.
Forgetting to sort the data before finding the median by hand - the calculator does this automatically.
Frequently asked questions
When should I use median instead of mean?
Use the median when your data has extreme outliers - like household income or home prices - since a few very large values can distort the mean but barely affect the median.
Can a data set have more than one mode?
Yes - if two or more values tie for the highest frequency, the data set has multiple modes (called bimodal or multimodal).
What if every number appears only once?
Then there's no meaningful mode, since no value repeats more than any other - the calculator will show "None" in that case.
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