How does the median formula work?

The median is the middle value in a set of numbers when they are arranged in numerical order. To find the median of a set of numbers, follow these steps:

1. Arrange the numbers in numerical order from smallest to largest.
2. If the number of values in the set is odd, the median is the middle value. For example, in the set {3, 5, 7, 9, 11}, the median is 7.
3. If the number of values in the set is even, the median is the average of the two middle values. For example, in the set {2, 4, 6, 8}, the median is (4 + 6) / 2 = 5.

The median is a useful measure of central tendency because it is not affected by extreme values (outliers) in the data set, unlike the mean.

The median formula is a statistical measure that represents the middle value of a data set when assorted in numerical order. It can be calculated using the following steps:

1. Sort the data set in ascending order. This means arranging the values from smallest to largest.
2. Find the middle value. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, the median is the average of the two middle values.

For example, let's say we have the following data set:

```
{2, 4, 6, 8, 10}
```

To find the median, we would first sort the data set in ascending order:

```
{2, 4, 6, 8, 10}
```

Since the data set has an odd number of values, the median is the middle value, which is 6.

Here is the formula for the median:

```
Median = (n+1)/2th value
```

where:

- n is the number of values in the data set

For the data set above, the median would be:

```
Median = (5+1)/2th value = 3rd value = 6
```