Median Calculator
Unweighted middle ordered observation or average of the two middle values. Scientific descriptive statistic.
In short
Unweighted middle ordered observation or average of the two middle values. Scientific descriptive statistic.
Formula: Sort observations. Median is the middle value for odd n, or the mean of the two middle values for even n.
What this calculator does
Unweighted middle ordered observation or average of the two middle values. Scientific descriptive statistic. Formula, worked example, sources, FAQs and limitations included.
Use it to turn Observations into a checked result you can compare, copy, or rerun with different assumptions.
The page shows the formula, a numeric worked example, and the assumptions that affect this statistics calculation.
Inputs and what they mean
- Observations
- — text value.
How to use it
- Enter each value in the unit shown next to the box (use the unit converter first if your numbers are in other units).
- Check the breakdown to see every intermediate step.
- Read the limitations before relying on the result.
Formula
Methodology type: scientific equation.
Methodology: NIST measures of location, unweighted sample median.
Sort observations. Median is the middle value for odd n, or the mean of the two middle values for even n.
Inputs used: Observations.
Worked example
Median
- Sorted: 1,2,4,9. Median = (2 + 4) ÷ 2 = 3.
Reading the result
The headline figure is the main answer. Any breakdown underneath shows the parts that make it up, so you can check the working and see what changes when you adjust an input.
Limitations and assumptions
- Unweighted numeric observations only.
- Missing or censored observations are not modeled.
- For education and operational analysis only. No diagnosis, treatment recommendations, prescribing, dosing instructions, or reimbursement entitlement. Scientific calculations require appropriate laboratory verification; operational estimates do not replace local clinical, safety or financial policies.
- The result depends on the values you enter for this median calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.
Reference: NIST
Last reviewed:
Common questions
Must I sort the values?
No. The calculator sorts a copy before finding the middle.
What happens with an even count?
It averages the two middle ordered observations. Check the formula, example, and limitations on this page before using the result for a real statistics decision.
Is median the same as mean?
No. The median is an order-based center and is less affected by extreme observations.
How do I use the Median Calculator?
Enter the required values for Observations. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.
What formula does the Median Calculator use?
Sort observations. Median is the middle value for odd n, or the mean of the two middle values for even n. The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.
Can the Median Calculator be used for exact decisions?
Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.
Sources
Method based on NIST.
Cite this page
Free Calculator. (2026, October 23). Median Calculator. https://freecalculator.tech/tools/median-calculator
"Median Calculator." Free Calculator, 23 Oct. 2026, https://freecalculator.tech/tools/median-calculator.
Median Calculator — Free Calculator, https://freecalculator.tech/tools/median-calculator
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