Statistics / Averages
Average Calculator (Mean, Median, Mode)
Find the mean, median, mode, range, and standard deviation of a list of numbers in one step, with the sum and the sorted list shown so you can follow the working.
Average Calculator (Mean, Median, Mode): The mean is the sum divided by the count: for 12, 15, 15, 18, 20, 22, and 35, that is 137 ÷ 7 = 19.57. The median is the middle value of the sorted list, 18, or the average of the two middle values when the count is even. The mode is the most frequent value, 15; there may be several or none. The range is the largest value minus the smallest. Runs 100% locally in your browser with zero server file uploads.
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Sorted: 12, 15, 15, 18, 20, 22, 35
The mean adds the numbers and divides by how many there are; the median is the middle value when they are sorted, or the average of the two middle ones; the mode is the value that appears most often. A single very large or small value pulls the mean but not the median, which is why the median often describes incomes and house prices better.
Worked example
For test scores of 12, 15, 15, 18, 20, 22, and 35: the mean is 19.57, the median 18, the mode 15, and the range 23. The single 35 lifts the mean above most scores, while the median stays in the middle.
For quartiles, variance, and more, use the statistics calculator.
Averages with weights
When some values count more than others, such as course credits or exam weightings, a plain average is misleading; use the weighted average calculator.
Standard deviation measures the spread around the mean: the sample version divides by n − 1 and suits data drawn from a larger group.
How to use it
- Type or paste the numbers, separated by commas, spaces, or new lines.
- Read the mean, median, mode, and range.
- Check the sorted list and the sum to follow the working.
Privacy & limitations
Everything is calculated in your browser.
Related tools
Frequently asked questions
Which average should I use?
The mean uses every value but is pulled by extremes; the median is better for skewed data such as incomes; the mode suits categories, such as the most common shoe size.
What if no number repeats?
Then there is no mode; if several values tie for most frequent, each of them is a mode.
Can I paste numbers with decimal commas?
Yes, when they are separated by semicolons or new lines, such as 1,5; 2,25; 3.
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