Average Calculator

How to use the average calculator

1. Type or paste your numbers in the Numbers box. Separate them with commas, spaces, semicolons or new lines, so a column copied from a spreadsheet works as is. Use a point for decimals (2.5) and a leading minus sign for negative values.
2. The results update as you type. You can also press Calculate.
3. Read the Mean, Median, Mode and Range, plus the Count, Sum, Minimum and Maximum of the list.
4. Open the Step by step panel to see how each value was obtained, then use Copy to copy all the results as text, or Clear to start again.

If an entry is not a number (a word, a stray letter, two decimal points), the tool lists it so you can fix it instead of silently ignoring it.

Mean, median, mode and range explained

The word “average” usually means the arithmetic mean, but the median and the mode are averages too. Each one answers a slightly different question.

• Mean: add all the values and divide by how many there are. For 4, 8, 15, 16, 23, 42 and 8, the sum is 116 and there are 7 values, so the mean is 116 ÷ 7 ≈ 16.57.
• Median: sort the values and take the one in the middle. With an odd count it is the middle value; with an even count it is the average of the two middle values. Sorted, the example becomes 4, 8, 8, 15, 16, 23, 42, so the median is 15.
• Mode: the value that appears most often. Here 8 appears twice, so the mode is 8. A list can have several modes (1, 1, 2, 2, 3 has two), or none at all when every value appears the same number of times, in which case the tool shows No mode.
• Range: the maximum minus the minimum, a quick measure of spread. In the example, 42 − 4 = 38.

Which average should you use?

The mean uses every value, which makes it the natural choice for quantities you add up, such as the average mark over several tests or the average monthly spending. Its weakness is that a single extreme value pulls it strongly: in the example, the single value 42 pulls the mean (about 16.57) above the median (15).

The median is robust to outliers. It is the better summary for skewed data such as salaries, house prices or response times, where a few very large values would make the mean misleading.

The mode is the only average that also makes sense for counts of repeated answers, such as the most common shoe size sold.

When the mean and the median are far apart, the data is skewed; it is worth looking at both, and at the spread with a standard deviation calculator.

Exact results

The calculations use exact fractions rather than floating-point numbers, so 0.1 + 0.2 gives exactly 0.3. When the mean is not a whole number, the step-by-step panel shows it as a fraction (116/7) before the rounded decimal, marked with “≈”.