Median Calculator

A median calculator identifies the middle value in a sorted set of numbers. It works by arranging the values in order and selecting the central one. If the set has an odd number of elements, the median is the single middle value. If it has an even number, the calculator finds the average of the two middle values. This provides a measure of central tendency that isn’t affected much by extreme values.

How to calculate the median:

To calculate the median of a set of numbers, follow these rules after sorting the numbers in ascending order.

Let the sorted list be:

$$x_1 \le {=}x_2 \le {=}x_3 \le {=}\dots {=} \le {=}x_n$$

If (n) is odd

The median is the middle value:

$$\text{Median} = x_{\frac{n+1}{2}}$$

If (n) is even

The median is the average of the two middle values:

$$\text{Median} = \frac{x_{\frac{n}{2}} + x_{\frac{n}{2} + 1}}{2}$$

Examples

Odd count

Numbers: 3, 8, 1
Sorted: 1, 3, 8

$$n = 3 \Rightarrow = \text{Median} = x_{\frac{3+1}{2}} = x_2 = 3$$

Even count

Numbers: 4, 2, 10, 6
Sorted: 2, 4, 6, 10

$$n = 4 \Rightarrow = \text{Median} = \frac{x_2 + x_3}{2} = \frac{4 + 6}{2} = 5$$

Key features include:

• Input fields for entering multiple numbers (up to 50 values)
• Automatic calculation of the median
• Flexible list management - add or delete any number at any position
• Support for decimal numbers and negative values
• Dynamic recalculation as values change