Median

 Median

Median is the value of the variable that divides the ordered set of values into two equal parts.
In another words,median is the middle most value of ordered( ascending or descending)set of values.50% of values are to the left side of the median and 50% values are on right side of the median.

let us consider there are N values in the data set.

I)when N is odd,then 
Median=size of(N+1/2) th item(Arranging values in ascending or descending order)

Example: 
values =1,2,3,4,5
here,Median is 3

II) when N is even , median is the average of size of (N/2)th item and (N+2/2) th item.

Example:

Heights (in cm) = {180, 167, 154, 122, 181, 135, 123, 145, 166, 145}

Rearranged Heights= {122, 123, 135, 145, 145, 154, 166, 167, 180, 181}


Median = (145+154)/2 = 149.5= 149.5


Median is preferable measure of location for asymmetric distribution.Median is best measure of central tendency as it is least affected by extreme values.Median can be visually located for discrete values... 

In next post we will see median For continuous data...

Thanks for reading...

Content created by-Chandrashekhar Awate and Priyanka Pawar

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