Free mean median mode range calculator
All four basic 'averages' of a dataset in one calculation — mean, median, mode(s), and range.
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Results are estimates. Consult a professional.
How the mean median mode range works
These four are the foundational descriptive statistics. Each summarizes a different aspect of the data — center (mean, median, mode) or spread (range).
Standard definitions from any introductory statistics text. Mean is sensitive to outliers; median is more robust. Mode is useful for categorical-like data.
mean median mode range: a worked example
Example: Stats of household incomes
Five household incomes: 40k, 45k, 50k, 55k, 200k. Compute all four measures.
Step 1 — Sort and find median
Middle value of 5 sorted = 3rd value.
median = 50kStep 2 — Compute mean
Sum ÷ count.
(40+45+50+55+200) ÷ 5 = 78kStep 3 — Find mode
Most frequent. All unique here.
no modeStep 4 — Compute range
Max − min.
200k − 40k = 160k
Result: median 50k, mean 78k
The mean (78k) is pulled up by the 200k outlier. The median (50k) better represents the 'typical' household — exactly why we report both.
How accurate is this mean median mode range?
Every formula on this site comes from an established, published source for its field — standard references in mathematics, finance, health, and engineering, not invented in-house. The math is implemented as a pure TypeScript function and tested against published reference values before going live. See the Methodology page for the full sourcing process.
Results are mathematically correct for the inputs provided. They are estimates only— real-world outcomes depend on factors specific to your situation, such as fees, taxes, timing, local rules, and assumptions that can change after the calculation date. See the Disclaimer for the limits on what to rely on a result for.
Frequently asked questions about the free mean median mode range calculator
What is a mean median mode range calculator?
A mean median mode range calculator is a free online tool that helps you all four basic 'averages' of a dataset in one calculation — mean, median, mode(s), and range. These four are the foundational descriptive statistics. Each summarizes a different aspect of the data — center (mean, median, mode) or spread (range). It runs entirely in your browser with instant results and no sign-up.When should I use median instead of mean?
When the data has outliers or is skewed. Median is the middle value, so a few extreme values don't shift it much. Mean is more efficient when the data is symmetric without outliers.What's a bimodal dataset?
One with two modes — two values that tie for most frequent. The calculator returns all tied modes. A dataset can also be trimodal, multimodal, or have no mode at all.Is range a good measure of spread?
It's the simplest but the least robust. Range only uses two values (max and min), so a single outlier can dominate it. Standard deviation gives a more stable picture of spread for most analyses.