Mean, Median & Mode Calculator
Parses a numeric list and reports arithmetic mean, median (including even-count average), mode(s) or no-mode, plus range, min, max, and count.
Limitation: Descriptive statistics for finite numeric lists only.
How to Compute Mean, Median, and Mode
Paste numbers separated by commas, spaces, or semicolons, then calculate.
Enter your dataset (1–500 finite numbers).
Even-count medians
For an even number of points, the median is the average of the two central sorted values.
Three Different “Centers”
Mean balances totals, median resists outliers better, and mode highlights the most common value(s).
Worked Statistics Examples
Classic five-point set
Dataset
Summaries
Sum 12 over 5; middle value 2; 2 appears twice.
Even count
Dataset
Summaries
Average of 3 and 5.
Outliers and the mean
A single extreme value pulls the mean more than the median—compare both before summarizing skewed homework data.
Frequently Asked Questions
Still have questions about this calculation?
Try the CalculatorCentral Tendency Formulas
All summaries use the raw list you entered—no hidden weights.
Formula
Mean
x̄ = (Σ xᵢ) / n
Median (odd n)
middle value of sorted list
Median (even n)
average of two central sorted values
Mode
value(s) with maximum frequency ≥ 2
Range
max − min
Scientific Background
Assumptions: finite numeric tokens. Limitations: no frequency tables as separate input; duplicate values must be repeated in the list.
Sources & review
Mean Median Mode Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.
Last reviewed
July 22, 2026
Free Calculator Hub methodology
Free Calculator Hub
/methodology
See our methodology and corrections policy.