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Arithmetic Median Definition:
Median is the middle value of the given
numbers or distribution in their ascending
order.Median is the average value of the two
middle elements when the size of the
distribution is even.
Example 1: To find the median of 4,5,7,2,1 [ODD].
Step 1: Count the total numbers
given.
There are 5
elements or numbers in the distribution.
Step 2: Arrange the numbers in
ascending order.
1,2,4,5,7
Step 3: The total elements in the
distribution (5) is odd.
The middle
position can be calculated using the
formula. (n+1)/2
So the middle
position is (5+1)/2 = 6/2 = 3
The number at 3rd
position is = Median = 4
Example 2: To find the median of 4,5,7,2,1,8 [Even]
Step 1: Count the total numbers
given.
There are 6
elements or numbers in the distribution.
Step 2: Arrange the numbers in
ascending order.
1,2,4,5,7,8
Step 3: The total elements in the
distribution (6) is even.
As the total is
even, we have to take average of number at
n/2 and (n/2)+1
So the position
are n/2= 6/2 = 3 and 4
The number at 3rd
and 4th position are 4,5
Step 4: Find the median.
The average is
(4+5)/2 = Median = 4.5
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