Mean, Median, Mode and Range Calculator
Enter any list of numbers to get all the important descriptive statistics at once — mean, median, mode, range, minimum, maximum, count and sum. Useful for quickly summarising a dataset, checking homework or exploring a set of measurements.
Enter your data
Enter at least one number and press Calculate.
What each statistic means
| Statistic | Definition | Example (2, 4, 4, 6, 9) |
|---|---|---|
| Mean | Sum ÷ count — the arithmetic average | 25 / 5 = 5 |
| Median | Middle value when the list is sorted | 4 |
| Mode | Most frequently occurring value(s) | 4 |
| Range | Maximum − minimum | 9 − 2 = 7 |
| Min / Max | Smallest and largest values | 2, 9 |
| Sum | Total of all values | 25 |
| Count | Number of values | 5 |
Choosing between mean and median
The mean uses every value and is affected by outliers. The median ignores how far each value is from the middle, so it is more robust to extreme values. For skewed data (income, house prices, waiting times), the median is usually the better summary.
Worked examples
Example 1 — Symmetric data
Values: 3, 5, 5, 7, 9
Mean = 5.8, median = 5, mode = 5, range = 6.
Mean 5.8 · Median 5 · Mode 5 · Range 6
Example 2 — Outlier
Values: 3, 5, 5, 7, 100
Mean = 24 (pulled by the outlier), median = 5 (unchanged), mode = 5, range = 97.
Mean 24 · Median 5 · Mode 5 · Range 97
Example 3 — No mode
Values: 1, 2, 3, 4, 5
Every value appears once, so there is no mode. Mean = median = 3.
No mode
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Frequently asked questions
A dataset can have more than one mode. If two values tie for the highest frequency, they are both modes (bimodal); if more than two tie, the set is called multimodal. The calculator shows all modes when this happens.
For an even count, the median is the average of the two middle values. For example, the median of 2, 4, 6, 8 is (4 + 6) / 2 = 5.
It depends on the shape of the data. When data is roughly symmetric with no big outliers, the mean and median are close and either is fine. When data is skewed (income, house prices, waiting times), the median better represents the "typical" value because it ignores extremes.