Mean Median Mode Calculator
Last updated: November 4, 2026
Calculate mean, median, mode, minimum, and maximum.
On this page
Quick summary: Inspect the mean, median, exact repeated-value modes and range of a numeric list, with an auditable frequency table.
Read the complete guide
Updated reference sections in this guide are in English.
Enter individual observations
Enter up to 1,000 numeric observations separated by commas, spaces, semicolons or new lines. Decimal numbers use a dot or the Arabic decimal mark. Commas separate observations, so 1,000 means two list entries here rather than a grouped number one thousand. Remove empty entries such as consecutive commas. Negative numbers and Arabic or Persian digits are supported.
Three summaries answer different questions
Median = middle sorted observation, or average of the two middle observations
Mode = observed value or values with the highest repeated frequency
Range = maximum − minimum
Modes are based on exact numeric repetitions rather than a histogram or a tolerance band. This interface reports “No repeated value” when every observation occurs once. Multiple values are listed if they tie at the largest repeated frequency. The optional frequency table lists up to the first 50 distinct values in numeric order.
Compare the centers before and after an extreme value
The list 2, 3, 3, 5, 6
The sum is 19 across five observations, so the mean is 3.8. The median is 3, the repeated-value mode is 3, and the range is 4.
Replace the final 6 with 60
For 2, 3, 3, 5, 60, the sum is 73 and the mean becomes 14.6. The middle observation remains 3, and 3 is still the repeated-value mode. These summaries describe different features of the same list.
Check this scenario in the calculator:
- Numeric values
- 2, 3, 3, 5, 6
How the list is interpreted
Every entry has equal weight. The calculator does not remove outliers, infer missing observations or determine whether the sample represents a population. Measurements that are close but unequal remain distinct: 1.01 and 1.02 do not share a frequency bin. Floating-point arithmetic has finite precision, so displayed decimals are not a claim of unlimited measurement accuracy. The supported magnitude of each input is at most one trillion in either direction.
Reference and questions
NIST Engineering Statistics Handbook: measures of location discusses mean, median and mode. The examples above specify how this tool handles a finite numeric list.
Does sorting change the mean?
No. Sorting is used to locate the median and display frequencies; each entered observation remains in the calculation.
What if two repeated values have the same highest count?
Both are reported as repeated-value modes. There need not be only one.
Can I paste thousands-separated amounts?
Remove thousands separators first. Commas in this form are list delimiters rather than grouping marks.