Median Calculator
Discover the true center of your data. Our solver sorts your values and identifies the median, quartiles, and dispersion metrics in milliseconds.
Input Data
Step-by-Step
1. Arrange values in order
2. Find middle position
3. If even, average the 2 middle values
Waiting for input data...
How Median Works
Unlike the mean, the median is not affected by extreme outliers. It represents the value at which exactly 50% of the data points are above and 50% are below.
The Calculation Logic
- Order the list from smallest to largest.
- If n is odd: Median is the value at (n+1)/2 position.
- If n is even: Median is the average of n/2 and (n/2)+1 positions.
Why Median Matters
Statistical Insight
The **Interquartile Range (IQR)** represents the middle 50% of your data. It's the most robust way to measure spread in skewed datasets.
Median vs. Mean
Consider a dataset: [10, 10, 10, 10, 1000].
The Mean (208)
The mean is heavily pulled by the 1000, making the 'average' seem much higher than the majority of the data.
The Median (10)
The median correctly identifies that most of the data points are 10, ignoring the influence of the single outlier.