How to use this calculator
Paste your values above and press Calculate. You will get the mean, median and mode together, plus the range, quartiles and standard deviation, because in practice these three are almost never used alone. Comparing them is where the insight lives.
Three averages, three different questions
The mean asks: if the total were shared out equally, what would each value get? It uses every number in the dataset, which is its strength and its weakness: one huge value can drag it a long way.
The median asks: what sits in the middle? Sort the values and take the centre one (or the average of the two centre ones). Outliers barely touch it, which is why house prices and salaries are usually reported as medians.
The mode asks: what turns up most often? It is the only average that works for categories, the most common shoe size, the most-ordered dish, where "mean colour" makes no sense at all.
A batsman's nine innings: 45, 12, 78, 33, 45, 0, 56, 45, 21.
Mean = 335 ÷ 9 ≈ 37.2 runs. Median: sorted, the innings read 0, 12, 21, 33, 45, 45, 45, 56, 78: the middle value is 45. Mode = 45, scored three times.
Notice the story: the mean (37.2) sits well below the median (45) because the 0 and 12 drag it down, while the 78 cannot pull it back up by itself. A coach quoting only the mean would undersell a consistent 45-run batsman. That gap between mean and median is your signal that a distribution leans to one side.
Which average should you use?
- Mean: symmetric data with no wild outliers, and whenever the result feeds further calculations (standard deviation, t-tests all build on it).
- Median: skewed data: incomes, house prices, waiting times, anything with a long tail of big values.
- Mode: categorical data, and for "most popular" claims, sizes and preferences.
When mean and median are close, the data is roughly symmetric and either tells the same story. When they drift apart, report both. The distance between them is itself information.
Frequently asked questions
What is the mean, median and mode of a dataset?
The mean is the sum divided by the count. The median is the middle value when the data is sorted. The mode is the value that appears most often. This calculator finds all three from the same dataset.
Can a dataset have more than one mode?
Yes. If two values tie for most frequent, the dataset is bimodal; several tied values make it multimodal. If every value appears once, there is no mode.
Why is the median better than the mean for salaries?
Salaries are skewed by a small number of very high earners, which pull the mean upward. The median (the middle earner) better represents a typical salary.
What is the range?
The range is the maximum minus the minimum. In the innings example it is 78 − 0 = 78. It is the simplest measure of spread, but it uses only two values, so treat it as a rough guide.