Get the mean, median, mode, and range from any list of numbers
💡 Why This Matters A single "average" can hide a lot — mean, median, and mode each tell a different part of the story, and picking the wrong one can make a data set look more (or less) typical than it really is. This tool gives you all three at once, plus the range, from one list of numbers.
"Average" household income figures are almost always the median, not the mean — because a handful of extremely high earners would otherwise drag the mean way above what a typical household actually earns.
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Mean is the sum of every number divided by how many numbers there are — the "textbook average." Median is the middle value once the numbers are sorted (or the average of the two middle values, if there's an even count). Mode is whichever number shows up most often. Range is simply the largest value minus the smallest.
Mean and median often land close together for evenly-spread data, but diverge sharply when outliers are present — a few very high or very low numbers pull the mean toward them while the median stays anchored to the middle. Mode is most useful for categorical or repeated data (like most common shoe size); with mostly unique numbers, there may be no mode at all, or several tied modes. Range gives a quick sense of how spread out the data is.
These four numbers describe a data set but don't replace looking at the full picture — two very different lists of numbers can share the same mean. For deeper spread analysis (not just the range), a standard deviation calculation is more informative. This tool doesn't weight values differently or handle grouped/binned data.
Use mean for typical general-purpose averaging, median when outliers might skew the picture (income, home prices, test scores with a few extreme results), mode when you care about the most common value (survey responses, shoe sizes, ratings), and range for a fast gut-check on spread before doing more detailed statistics.
Example: Take the list 4, 8, 6, 5, 3, 8, 9. Sorted: 3, 4, 5, 6, 8, 8, 9. Mean = (4+8+6+5+3+8+9) ÷ 7 = 43 ÷ 7 ≈ 6.14. Median (middle of 7 sorted values) = 6. Mode (most frequent) = 8 (appears twice). Range = 9 − 3 = 6.
Mean is the sum of all values divided by how many there are. Median is the middle value when the numbers are sorted. Mode is whichever value appears most often. They can all give different answers for the same data set.
Median is more useful when a data set has extreme outliers — like household income or home prices — since a few very high or low values can pull the mean far from what's typical, while the median stays representative of the middle of the pack.
A data set can have multiple modes if two or more values tie for the most frequent — this is called "multimodal." If every value appears exactly once, there's no mode at all.
Sort the numbers, then average the two middle values. For example, with 4, 8, 10, 12, the two middle numbers are 8 and 10, so the median is (8+10)/2 = 9.