MEDIAN : MEDIAN MEDIAN IS THE VALUE OF MIDDLE TERM OF A SET OF VARIABLES WHEN THE VARIABLES OF THE SET ARE ARRANGED IN ASCENDING ORDER OR DESCENDING ORDER
STEPS TO FIND THE MEDIAN. : 1.COUNT THE NUMBERS.LET THE TOTAL NUMBER BE ‘n’.
2.IF THE NUMBER OBTAINED FROM STEP(1) IS ODD,
MEDIAN= [(n+1)/2] TH TERM.
3.IF ‘n’ IS AN EVEN NUMBER,
MEDIAN=[(n/2)TH TERM+(n/2+1)TH TERM] 2
4.NOW WE HAVE THE MEDIAN. STEPS TO FIND THE MEDIAN.
EXAMPLE: : Find the median of the folllowing:3,5,2,19,7,4,9&12
Solution
On arranging in ascending order, we get,
2,3,4,5,7,9,12,19.
Here, ‘n’=8.
As ‘n’ is even,
MEDIAN=[(n/2)TH TERM+((n/2+1)TH TERM]
2 EXAMPLE:
: Therefore,
Median=[(8/2)T H TERM+(8+2/2)TH TERM] 2
Therefore
Median =4TH TERM + 5TH TERM
Here 4TH TERM= 5 & 5TH TERM=7
Therefore Median = (5+7) 2
=12 2
=6
MEDIAN FOR TABULATED DATA : The weights of 45 children in a class were recorded, to the nearest Kg. as follows:
Calculate the median weight
Solution MEDIAN FOR TABULATED DATA
Construct the Cumulative frequency table : Since total number of children=45.
i.e. n=45;which is odd.
Therefore Median=( n+1)th term.
2
Here n=45(odd).
So median=(45+1)/2= 23rd term.
Here 23rd Term comes under the
weight:52Kg.
Therefore Median= 52 Kg Construct the Cumulative frequency table
THANK YOU EVERYBODY : I hope everybody understood about the median. THANK YOU EVERYBODY