# Median

Subject classification: this is a statistics resource. |

In Statistics, median is the number in the middle of a set of numbers.The median of a series of numbers is obtained by arranging the numbers in ascending order and then choosing the number in the 'middle'.If there are *two'*middle numbers the median is the average(mean) of these two numbers.

## Examples and application

[edit | edit source]1. __Find the median of the following set of numbers:__

5, 4, 10, 3, 3, 4, 7, 4, 6, 5

So, first of all lets arrange the numbers in ascending order:

3, 3, 4, 4, 4, 5, 5, 6, 7, 10

Then you can use 'striking out' to find the median easily and without mixing as I did here:

~~3, 3, 4, 4,~~4, 5,~~5, 6, 7, 10~~

Here, what I did was that I began canceling for the ends of the set: cancel the 3 with 10, the second three with 7 and so on.. So, now we found out that the median was two numbers: 4 and 5. In this case we will add them and then divide them by two, just as if we are finding their mean. So 4+5=9, and then 9\2 is 4.5, so the median here is 4.5.