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Mean, Median and Mode Calculator
Paste a list of numbers and this calculator returns the three common measures of centre: the mean (the arithmetic average), the median (the middle value once the data is sorted) and the mode (the value that occurs most often). It also reports the count, sum and range, and shows the sorted list so you can check the median position yourself.
The mean is the total divided by the count, so a single extreme value pulls it up or down. The median ignores how far away the extremes are, which makes it the better summary for skewed data such as incomes or house prices. The mode is the only one of the three that works for categories as well as numbers, and a data set can have several modes or none.
Use this tool for homework checks, for summarising survey results, or for a first look at a data set before you calculate the variance and standard deviation. The steps follow the same order a textbook uses, so you can copy them into a written answer.
Separate values with commas, spaces or new lines.
Result and step-by-step solution
| Mean | 14 |
|---|---|
| Median | 14.5 |
| Mode | 15 |
| Count (n) | 10 |
| Sum | 140 |
| Range | 11 (9 to 20) |
- Add the valuesΣx = 9 + 11 + 11 + 12 + 14 + 15 + 15 + 15 + 18 + 20 = 140
- Mean = Σx ÷ n140 ÷ 10 = 14
- Sort the values9, 11, 11, 12, 14, 15, 15, 15, 18, 20
- Mediann = 10 is even, so the median is the average of positions 5 and 6: (14 + 15) ÷ 2 = 14.5.
- ModeThe value that appears most often is 15.
Frequently asked questions
- What is the difference between mean, median and mode?
- The mean is the sum of the values divided by how many there are. The median is the middle value after sorting (or the average of the two middle values when the count is even). The mode is the value that appears most often. For symmetric data all three are close together; for skewed data the mean is pulled toward the long tail.
- How do I find the median when there is an even number of values?
- Sort the data, take the two values in the middle and average them. With 10 values, the median is the average of the 5th and 6th sorted values.
- Can a data set have more than one mode?
- Yes. If two values tie for the highest frequency the data is bimodal, and with more ties it is multimodal. If every value appears exactly once there is no mode.
- Which measure should I use for skewed data?
- The median. Extreme values change the mean a lot but barely move the median, so the median is the usual summary for incomes, waiting times and other right-skewed data.
Last reviewed: September 25, 2026. Calculations run in your browser and were validated against SciPy.