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Median Calculator

Find the median (middle value) of any dataset instantly.

The Median Calculator finds the middle value of your dataset. It sorts the numbers and identifies the central value, providing step-by-step explanations for both odd and even-sized datasets.

  1. Enter your numbers in the input field
  2. The median is calculated automatically after sorting your data
  3. Click "Show Steps" to see the sorting and selection process
  4. Check the Summary panel for additional statistics
  • Automatic data sorting
  • Handles both odd and even-sized datasets
  • Step-by-step calculation breakdown
  • Shows sorted data for verification
  • Complete statistical summary included
What happens with an even number of values?
When you have an even count, the median is the average of the two middle values.
When should I use median instead of mean?
Use the median when your data has outliers or is skewed. For example, median income is more representative than mean income.
Is the median always one of the values in my dataset?
Not always. With an even count, the median may be a value between two data points.
Enter Data
Data Type
Decimals
Arithmetic Mean
-
x̄ = (Σxᵢ) / n
Median
-
Middle value of sorted data
Mode
-
Most frequent value(s)
Sample Standard Deviation
-
s = √[Σ(xᵢ - x̄)² / (n - 1)]
Sample Variance
-
s² = Σ(xᵢ - x̄)² / (n - 1)
Summary Statistics
Count -
Sum -
Min -
Max -
Range -
Mean -
Median -
Mode -
Std Dev (S) -
Std Dev (P) -
Variance (S) -
Variance (P) -
Q1 -
Q2 -
Q3 -
IQR -
The median is the middle value when data is sorted in order
For even datasets, the median is the average of the two middle values
The median is resistant to outliers unlike the mean
Want to learn more? Read documentation →
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