Quick answer
For 3, 7, 7, 10 the mean is 6.75, the median 7, the mode 7 and the range 7 (max − min). Enter a list to get all four measures.
Enter a list of numbers. The calculator returns mean, median, mode and range.
Related tools: Mean Median Mode Calculator: Mean, median and mode of a data set. Median Calculator: Median of a data set. Mean Calculator: Mean of a data set.
How to use the Mean Median Mode Range Calculator
- Type data set, for example 4, 8, 15, 16, 23, 42.
- Press Calculate to see the result, and use Reset to start again.
| Input | What to enter | Allowed values |
|---|---|---|
| Data set | Text, such as 4, 8, 15, 16, 23, 42 | — |
Formula and method
Formula
range = max − min
IEEE-754 double precision; shown to at most 6 decimal places.
As the mean/median/mode calculator, plus the range.
Worked examples
These examples are verified: each one is an automated test case that the live calculator must reproduce exactly.
Example 1
Inputs: Data set = 3, 7, 7, 10.
| Result | Value |
|---|---|
| Mean | 6.75 |
| Median | 7 |
| Mode | 7 |
| Range | 7 |
Example 2
Inputs: Data set = 5, 5.
| Result | Value |
|---|---|
| Mean | 5 |
| Median | 5 |
| Mode | 5 |
| Range | 0 |
The first line is the headline result (mean). Below it the mean Median Mode Range Calculator lists median, mode and range, which describe the same case from other angles. IEEE-754 double precision; shown to at most 6 decimal places.
Worked example
Mean = 27 ÷ 4 = 6.75. Sorted: 3, 7, 7, 10 so the median is (7 + 7) ÷ 2 = 7. 7 occurs twice, so it's the mode. Range = 10 − 3 = 7.
Reading together
The mean is a little below the median, hinting at slight left skew. The range shows the total spread but depends on extremes. There is no mode if all values are unique.
Choosing a summary
For 3, 7, 7, 10 the mean is 6.75, the median 7, the mode 7 and the range 7. When the mean is below the median the data is often skewed toward low values.
Report the median when outliers are likely and the mean when values are roughly symmetric. The range adds a quick measure of spread.
What happens with invalid input
These messages are produced by the calculator itself, so you know what to fix.
- Data set: entering "x" shows "“x” is not a number." beside that field and no result.
Choosing between the Mean Median Mode Range Calculator and similar calculators
Each row shows what a related calculator on this site asks for and what it returns, so you can pick the one that matches your question.
| Calculator | You enter | It returns |
|---|---|---|
| [Mean Median Mode Calculator](/statistics/mean-median-mode-calculator/) | data set | Mean |
| [Median Calculator](/statistics/median-calculator/) | data set | Median |
| [Mean Calculator](/statistics/mean/) | data set | Mean |
| [Range Calculator](/statistics/range-calculator/) | data set | Range |
| [Mode Calculator](/statistics/mode-calculator/) | data set | Mode |
Background: descriptive statistics
Population statistics divide by n and sample statistics divide by n − 1 (Bessel's correction), because a sample tends to understate variability. Use the population version when your data is every value in the group, and the sample version when it is a subset.
Defaults differ between tools, and so do quartile conventions, which can give slightly different values for small data sets; this page states the method it uses.
Assumptions and limitations
- No mode when all values are unique
If a required value is empty, not a number, or outside its allowed range, the form marks that field with a message and shows no result instead of a misleading number. The automated checks deliberately try invalid entries for data set to confirm this.
Frequently asked questions
What is the range?
The maximum minus the minimum.
What if two values tie for mode?
If two values tie for most frequent, both are listed as modes (e.g. 2 and 3 in 1, 2, 2, 3, 3, 4).
Which should I report?
Report the mean and the median together.
Which measure of centre should I report?
Use the mean for symmetric data and the median when outliers or skew would distort the mean.
What does it mean when the mean is below the median?
It often indicates a tail of low values pulling the mean down.
What does the Mean Median Mode Range Calculator calculate?
Mean, median, mode and range of a data set. It returns Mean, Median, Mode and Range.
What formula does the Mean Median Mode Range Calculator use?
range = max − min. As the mean/median/mode calculator, plus the range.
How is the result rounded or limited?
IEEE-754 double precision; shown to at most 6 decimal places. No mode when all values are unique.
What is an example of a mean Median Mode Range result?
With data set 3, 7, 7, 10, the mean is 6.75.
Related calculators
- Mean Median Mode Calculator — Mean, median and mode of a data set.
- Median Calculator — Median of a data set.
- Mean Calculator — Mean of a data set.
- Range Calculator — Range of a data set.
- Mode Calculator — Mode of a data set.
- Geometric Mean Calculator — Geometric mean of a data set.
- Quartile Calculator — Quartiles of a data set.
- Interquartile Range Calculator — Interquartile range of a data set.
- T-Score (Standardized) Calculator — Convert a raw score to a standardized T-score (mean 50, SD 10).
Sources
- Standard statistics definition (e.g. NIST/SEMATECH e-Handbook of Statistical Methods)
Content last reviewed 2026-11-04. Formulas and worked examples are checked by automated tests against independently computed values.