Median Calculator
Find the exact statistical median value of odd or even datasets. The median isolates the 50th percentile, providing an outlier-resistant metric of central tendency for real estate prices, incomes, and test scores.
Enter numbers in any order; they will be sorted automatically
The exact center value (or average of two centers if even)
How to Use This Calculator
- Enter your list of numbers separated by commas or spaces.
- View the calculated median value at the top.
- Inspect the automatically sorted sequence and min/max extremes below.
Formula & Calculation Methodology
For odd sample sizes, the median is the single value located at position (n+1)/2. For even sample sizes, it is the arithmetic average of the two middle elements.
Worked Example
Odd dataset: 5, 8, 12, 17, 23, 31, 42
Even dataset: 10, 20, 30, 40
Frequently Asked Questions
Why is the median preferred over the mean for income and housing?↓
The median is resistant to extreme skewness. High-value mansions or billionaire wages inflate the mean, but have zero effect on the median.
Do I need to sort my numbers before entering them?↓
No. The calculator automatically parses and sorts your inputs in ascending order before computing.
How does the calculator handle an even number of entries?↓
When n is even, there is no single middle number, so the engine takes the average of the two central numbers.
What is a limitation of the median?↓
The median ignores the specific magnitudes of non-middle values, so it does not convey overall sample totals or aggregate budgets.
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Source Citation & Disclaimer
Informational tool only; not licensed tax, legal, or financial advice.