Mean Median Mode Calculator
Paste numbers separated by commas, spaces, or new lines. Click any i for detail.
Data
Numbers
i
List
Separate with commas, spaces, or line breaks. |
|---|
How to use this calculator
- Paste or type the list.
- Read mean (headline), median, mode, and sample SD.
- A single z vs a known mean/SD is the z-score page.
- Empty tokens are ignored.
Results explained
Mean = sum / n. Median = middle of the sorted list (average of two middles if n is even). Mode = most frequent value, or none if all unique. Sample SD uses n − 1.
Quick reference: averages
Mean is pulled by outliers; median is not.
| Item | Detail |
|---|---|
| Mean | Arithmetic average |
| Median | 50th percentile of the list |
| Mode | Most frequent |
| z of one x | Z-score calculator |
Population SD (÷ n) is not shown — this is the sample version.
How the estimate is built
mean = Σx / n. sample SD = √(Σ(x−mean)² / (n−1)).
Example scenario
12, 15, 15, 18, 22, 24, 24, 30 — mean 20, median 20, modes 15 and 24.
FAQ
Two modes?
We list every value tied for most frequent.
Weighted mean?
Not this page — repeat numbers or use a spreadsheet.
Dates or grades as letters?
Convert to numbers first.