# Median in Math

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Median is the middle number of a set of observation.

Example: - Median of 6, 10, 20 is 10 because 10 is the middle value and 10 divides the set in two equal portion. So the number of values to the left of the median will be equal to the number of values to the right.

Following are the steps to find the median.

Step 1: Arrange the data.

Step 2: Find the position of the median by using the formula
(n + 1) / 2

If there are odd number of values in the data then you wil get the whole number by using
(n + 1) / 2. So there will be only one middle value which is the median.

If there are even numbers of values in the data then you will get a decimal number by applying (n + 1) / 2. So there will be two middle value and after averaging them you will get the median.

Example: - Find the median of
9          2          6          5          1

Solution: - Step 1: - Arrange data is
1          2          5         6          9

Step 2: - (n+1) /2= (5+1)/2= 3

Hence 3rd position is the median.

Median = 5

Example 2: Find the median of
9          2          6          5          1          3

Solution: - Arrange data is
1          2          3          5          6          9
(n+1)/2= (6+1)/2= 3.5

Therefore average of 3rd and 4th position value gives the median.
Median= (3+5)/2= 4