Median Calculator
Median calculator
Compute median from ordered center position.
InputsStatistics1 fieldLive
Result
4.5
Even n: median is average of two middle values.
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Advanced options
Formula
Median is middle value after sorting; for even n use average of two middle values \text{Median} = \frac{x_{\left(\frac{n}{2}\right)} + x_{\left(\frac{n}{2}+1\right)}}{2} \text{ for even } n Symbol legend
| Symbol | Meaning | Unit | Copy |
|---|---|---|---|
x_{(k)} | k-th ordered value in sorted list | data unit | |
n | Number of values | count |
- Sort values from smallest to largest.
- For odd n, pick the center value.
- For even n, average the two center values.
Example
Worked example: 1, 3, 7, 9
- 1 Sorted values: 1, 3, 7, 9
- 2 n = 4 (even)
- 3 median = (3 + 7) / 2 = 5
The median is 5.
How
- Paste numeric values separated by comma or space.
- Let the tool sort values internally.
- Read median output instantly.
Avoid
- Using unsorted position directly without sorting first.
- Forgetting to average two middle values for even n.
- Mixing non-numeric values in the list.
FAQ
Is median affected by outliers?
Median is generally more resistant to outliers than mean.
Can median be a decimal when inputs are integers?
Yes, even-sized datasets can produce decimal median values.
Do I need to sort manually?
No, sorting is done automatically by the calculator.
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