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Mean, Median & Mode Calculator

Calculate the mean (average), median (middle value), mode (most frequent value), and range of any data set.

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9 values

Paste a column from Excel or Google Sheets into any row.

#Value
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Updating answer…

How this calculator works

Calculate mean, median, mode, and range for any data set using our free statistics calculator. Enter your values as a comma-separated list to get a complete descriptive statistics summary. The tool displays step-by-step calculation working so you can verify each result.

Method
Strict finite-number parsing followed by arithmetic mean, sorted median, frequency-count mode, and maximum-minus-minimum range
Source
NIST/SEMATECH e-Handbook of Statistical Methods — Measures of Location
Last reviewed
2026-08-26
Method limitations
  • Every entered token must be a finite decimal or scientific-notation number; malformed values are rejected rather than ignored.
  • The calculator accepts at most 10,000 values in the bounded presentation.
  • The arithmetic mean is sensitive to extreme values and may not represent a typical value for skewed data.
  • A dataset may have multiple modes or no repeated-value mode.
  • These descriptive measures do not establish distribution shape, statistical significance, or causation.

Engine-backed example

Mean, median, mode, and range: worked example

What are the central-tendency measures for 3, 7, 5, 13, 7, 2, 9, 7, and 5?

Data values
3, 7, 5, 13, 7, 2, 9, 7, 5
Arithmetic Mean6.4444
Median (Middle Value)
7
Mode (Most Frequent)
7
Range (Max - Min)
11 (13 - 2)

The nine values sum to 58, so their arithmetic mean is 6.4444. The sorted middle value is 7, which is also the most frequent value, and the range is 11 from 2 to 13.

Trust and review

Who created and reviewed this calculator?

Author
CalcOS Editorial TeamResponsible for statistical terminology, examples, assumptions, and clear interpretation boundaries.
Reviewed by
CalcOS Scientific ReviewTechnical review of arithmetic mean, odd/even median, non-unique mode, range, strict finite-number parsing, boundaries, engine parity, and narrative examples.
Substantive review date
2026-08-26Mean, median, mode, multimode and no-mode behavior, range, invalid-token rejection, 10,000-value limit, display precision, worked-example parity, and interpretation limitations.

Sources

Assumptions used by this calculator
  • Every token must be a finite decimal or scientific-notation number; malformed values are rejected rather than omitted.
  • The arithmetic mean is the sum of all supplied values divided by their count.
  • For an even number of sorted values, the median is the average of the two central values.
  • A dataset may have more than one mode; if every value occurs once, the calculator reports no mode.
  • Mean is sensitive to extreme values, while median is based on order; none of these measures alone describes distribution shape or statistical significance.
  • The calculator accepts at most 10,000 values per calculation.