How to use the Average Calculator
- Paste or type your numbers separated by commas, spaces or line breaks.
- Read the mean, median, mode and range together.
- Compare mean and median: a large gap signals skew or outliers.
- Report the median when that gap is large, and say which measure you used.
How the calculation works
The mean sums all values and divides by the count, so every value influences it in proportion to its size — including one that is wildly out of line. The median sorts the values and takes the middle one, or the average of the two middle ones for an even count, so it depends only on rank. The mode is the most frequently occurring value and is the only one of the three that works on non-numeric categories.
The practical test is the gap between mean and median. Salaries in a small company where the founder earns ten times the median will show a mean well above the median, and quoting the mean would misdescribe what a typical employee earns. Range — the largest value minus the smallest — is a crude but useful check on how far the data spreads.
Mean = Σx / n ; Median = middle value of the sorted list ; Range = max − minSource: Standard descriptive statistics definitions.
Worked example
Weekly sales figures: 42, 38, 51, 47, 39, 44, 213.
- Sum = 474; count = 7; mean = 474 / 7 = 67.7.
- Sorted: 38, 39, 42, 44, 47, 51, 213 — the middle value is 44.
- Range = 213 − 38 = 175.
Mean 67.7 versus median 44. The single week of 213 drags the mean far above every other value, so the median describes a typical week.
Frequently asked questions
When should I use the median instead of the mean?+
Whenever the data is skewed or contains outliers — incomes, house prices, response times. The median describes the typical case; the mean describes the total divided evenly, which may match nothing in the data.
Can a data set have more than one mode?+
Yes. If two values tie for most frequent the set is bimodal, and if no value repeats there is no mode at all. Multiple modes often mean two different groups are mixed in one data set.
What is a weighted average?+
One where each value carries an importance factor — credit hours in a GPA, portfolio size in a return. Multiply each value by its weight, sum, then divide by the total weight rather than the count.
Should I remove outliers before averaging?+
Only when you can justify it, such as a known data-entry error. Removing inconvenient values otherwise changes the conclusion rather than the accuracy; report both figures instead.
Last reviewed August 31, 2026. We review this page whenever the underlying formula, tax year, published rate or standard changes.