Median Calculator

Find the median (middle value) of a data set, detailing the sorting and selection steps.

\tilde{x} = x_{\frac{N+1}{2}} \text{ (for odd } N\text{), or } \frac{x_{\frac{N}{2}} + x_{\frac{N}{2}+1}}{2} \text{ (for even } N\text{)}
Result

Step-by-Step Calculation & Explanation

The median is the middle value in a sorted data set. If the number of data points is odd, the median is the middle number. If the number of data points is even, the median is the average of the two middle numbers.