Median Calculator
Find the median of any number set instantly — along with mean, mode, range, and count.
Enter numbers separated by commas, spaces, or new lines.
Please enter at least one valid number.
Choose how your numbers are separated.
Median
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Mean
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Mode
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Range
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Count
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Min
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Max
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Sorted Numbers
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How to Use the Median Calculator
- 1 Enter Your NumbersType your numbers into the input field, separated by commas, spaces, or new lines.
- 2 Choose SeparatorSelect your preferred separator type — comma, space, or new line — using the dropdown.
- 3 Click CalculatePress the Calculate Median button or hit Enter to process your numbers.
- 4 View ResultsInstantly see the median along with mean, mode, range, count, and sorted number list.
- 5 Clear and RecalculateUse the Clear button to reset all fields and start a fresh calculation.
Key Features
Complete Statistics
Get median, mean, mode, range, min, max, and count — all in one click.
Any Size Dataset
Works with small sets of 3 numbers or large datasets of hundreds of values.
Instant Results
Calculations happen immediately in your browser — no waiting, no server delays.
Flexible Input
Paste data with commas, spaces, or line breaks. Negatives and decimals supported.
Sorted Number List
See your numbers arranged in ascending order alongside the calculated statistics.
Works on All Devices
Fully responsive design — use it on mobile, tablet, or desktop without any issues.
How the Median is Calculated
The median is the central value in an ordered dataset. It divides the dataset exactly in half — 50% of values fall below it, and 50% fall above. Unlike the mean, the median is resistant to outliers, making it a more reliable measure of center in skewed data.
The calculation follows two cases depending on whether the count of numbers is odd or even.
If n is odd → Median = value at position (n + 1) / 2
After sorting the dataset in ascending order.
If n is even → Median = (value at n/2 + value at n/2 + 1) / 2
Average of the two middle values after sorting.
| Variable | Meaning |
|---|---|
| n | Total count of numbers in the dataset |
| Sorted list | Numbers arranged from smallest to largest |
| Middle position | (n + 1) / 2 for odd n; average of two middle for even n |
| Mean | Sum of all values ÷ n |
| Mode | The value that appears most frequently |
| Range | Maximum value − Minimum value |
This tool also calculates the mean by dividing the total sum by the count, and finds the mode by identifying the most frequently occurring value(s). If no value repeats, the mode is shown as "None."
Practical Examples
Priya Sharma — Mumbai, India
Class 10 Statistics Assignment
Priya needs to find the median of her classmates' test scores for a statistics project.
Scores: 45, 62, 78, 55, 90, 72, 68
Sorted: 45, 55, 62, 68, 72, 78, 90
n = 7 (odd) → Position = (7+1)/2 = 4th value
Rajan Mehta — Ahmedabad, India
Small Business — Monthly Sales Analysis
Rajan wants to find the typical monthly sales figure, ignoring extreme months, to plan inventory better.
Sales (₹ thousands): 120, 145, 98, 310, 132, 118, 140, 125
Sorted: 98, 118, 120, 125, 132, 140, 145, 310
n = 8 (even) → Median = (125 + 132) / 2
Sarah Collins — London, UK
HR Department — Salary Benchmarking
Sarah is benchmarking salaries and wants the median to avoid distortion from the CEO's high pay skewing the average.
Salaries (£k): 28, 32, 35, 38, 40, 42, 45, 120
Sorted: 28, 32, 35, 38, 40, 42, 45, 120
n = 8 (even) → Median = (38 + 40) / 2
Dr. Kavitha Nair — Bengaluru, India
Medical Research — Patient Age Analysis
Dr. Kavitha is studying patient age distribution in a clinical trial with 5 participants.
Ages: 34, 52, 29, 41, 38
Sorted: 29, 34, 38, 41, 52
n = 5 (odd) → Position = (5+1)/2 = 3rd value
What is a Median Calculator?
A median calculator is a tool that finds the middle value in a sorted list of numbers. In statistics, the median is one of the three core measures of central tendency — alongside mean and mode. It tells you the value that sits exactly at the center of your dataset when arranged in order.
What makes the median particularly powerful is its resistance to extreme values. If you have a dataset like [10, 12, 14, 16, 5000], the mean would be misleadingly high (1010.4), but the median remains a reliable 14. This is why economists, researchers, and analysts often prefer median income or median house price over averages.
Whether you're a student computing statistics homework, a teacher grading exams, a data analyst benchmarking figures, or a business owner reviewing monthly performance — this tool gives you accurate central tendency statistics instantly without needing Excel, Python, or a scientific calculator.
Median Calculator in Multiple Languages
Want a deeper guide on how the median works, when to use it over mean, and real-world applications?
Read the Full Blog Post →Frequently Asked Questions
Is this tool free to use?
What is the median of a set of numbers?
How many numbers can I enter?
Can I enter decimal or negative numbers?
What is the difference between median and mean?
What happens when there is an even number of values?
Does the calculator also find mean, mode, and range?
What separators can I use between numbers?
Is the median calculator useful for students?
Does this tool work on mobile devices?
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