Median vs Mean vs Mode
Mean is the arithmetic average, median is the middle ordered value, and mode is the most frequent value. Calculate all three—plus range and frequency counts—then see which measure describes your data best.
Written and checked by TheToolNet Editorial Team · Last reviewed: September 12, 2026 · How we check statistics tools
Mean, median, mode, and range calculator
Enter numeric observations. The mode result correctly handles one mode, multiple tied modes, and data with no repeated value.
Mean, median, and mode compared
| Measure | How it is found | Usually useful for |
|---|---|---|
| Mean | Add values and divide by count | Numeric, reasonably symmetric data |
| Median | Middle of sorted values | Skewed numeric data or data with outliers |
| Mode | Most frequent value or category | Numeric or categorical data; most common item |
How to calculate mean, median, and mode
For 2, 3, 3, 4, 6, 8, 9, the sum is 35 and count is 7, so the mean is 5. The fourth sorted value is 4, so the median is 4. The value 3 appears twice—more than any other value—so the mode is 3. The range is 9 − 2 = 7.
This example shows why the three answers can differ even when each calculation is correct.
Median vs mean when there are outliers
Compare 1, 2, 3, 4, 5 with 1, 2, 3, 4, 100. Both medians are 3, but the second mean jumps from 3 to 22. The median is resistant to an extreme value; the mean incorporates its full magnitude.
That does not make median universally better. Use the mean when every magnitude should influence the center, and use the median when a typical middle position is more useful than the arithmetic balance point.
Mode calculator rules
A data set is unimodal when one value has the highest frequency, bimodal when two tie, and multimodal when more than two tie. If every entered value occurs exactly once, this calculator reports no mode instead of arbitrarily selecting every value.
Mode can also describe categories such as the most common product size, but this page’s calculator accepts numeric values so that it can calculate all four statistics together.
Frequently asked questions
Are mean and average the same?
In ordinary introductory statistics, “average” usually means the arithmetic mean, although average can be used more broadly for a typical value.
Can the mean, median, and mode be equal?
Yes. For 1, 2, 2, 2, 3, all three equal 2.
Is range a measure of central tendency?
No. Range measures spread: maximum minus minimum. It is included because many classroom questions request mean, median, mode, and range together.
Reference and related calculation
To continue from center to spread, use the ungrouped-data standard deviation formula.