Median Calculator with Mean, Mode and Range
Enter a numerical list to find its median, mean, mode and range. The tool also shows sorted values, two quartile conventions and a grouped-data median estimate. Use commas, spaces or semicolons between complete numbers.
- Free to use
- No sign-up
- Runs in your browser
Median calculator
Grouped data (optional)
Statistics Basics Worksheets
Printable mean, median, mode and range worksheets with answer keys, a box plot template, a grouped data median worksheet and a statistics formula card.
- Averages practice (PDF, DOCX)
- Median practice (PDF, DOCX)
- Box plot template (PDF)
- Formula card (PDF)
Formats: PDF, DOCX. Instant download after payment (link valid 72 hours, up to 5 downloads). AI-assisted: the templates were drafted with AI help and reviewed and laid out before publishing.
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Free sample: Box Plot Template (PDF, 95 KB)
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Free printables
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Printable Statistics Formula CardMedian, mean, mode and range examples
| Data | Median | Mean | Mode | Range |
|---|---|---|---|---|
| 1, 3, 5 | 3 | 3 | No mode | 4 |
| 1, 2, 3, 4 | 2.5 | 2.5 | No mode | 3 |
| 2, 2, 5, 5 | 3.5 | 3.5 | 2, 5 | 3 |
| 2, 2, 3, 9 | 2.5 | 4 | 2 | 7 |
For an odd count, take the middle sorted value. For an even count, average the two central values. Multiple values can share the highest frequency. When every value appears once, this tool reports no mode.
Grouped median is an estimate
Enter one class and frequency per line, such as 0-10 2, 10-20 6 and 20-30 2. Frequencies total 10; half is 5. The median class is 10–20, with 2 observations before it and a class frequency of 6. The estimate is 10 + ((5 − 2) ÷ 6) × 10 = 15. This interpolates within a class; the exact individual values are unknown. Use ordered, non-overlapping classes and nonnegative whole frequencies.
Input and quartile notes
The two quartile outputs use median-of-halves and linear interpolation, so they can differ. Empty or malformed list entries and e+ notation are rejected; enter 1000 instead of 1e+3. A grouped table whose total frequency is zero has no defined median and is shown as an error.
Frequently asked questions
Can there be two modes?
Yes. The tool lists values tied for the highest repeated frequency.
Why do the quartiles differ?
Median-of-halves and linear interpolation use different definitions. State the method with your result.
Is a grouped median exact?
No. It estimates a position within the median class from its boundaries and frequency.