Q. 15.0( 1 Vote )

Find the median o

Answer :

(i). Let us arrange the numbers in ascending order. (Without arranging the values in ascending/descending order, we will not be able to get the correct median) We have,

12, 18, 32, 51, 58, 92 ,106 …(1)


Total number of items, n = 7 (odd number).


When n is odd, median is given by





Median = 4th term


Count 4th term from the arranged numbers in (1).


The 4th term = 51


Median = 51 [ Median = 4th term]


Thus, median is 51.


(ii). Let us arrange the numbers in ascending order. (Without arranging the values in ascending/descending order, we will not be able to get the correct median) We have,


1, 2, 3, 7, 9, 14, 15, 18, 21, 28, 46, 59 …(1)


Total number of items, n = 12 (even number).


When n is even, median is given by




Median = mean of 6th and 7th term


Count 6th and 7th term from the arranged numbers in (1).


The 6th term = 14


& 7th term = 15


Median = mean of 14 and 15 …(2)


Mean of 14 and 15 is calculated as,




Put mean of 14 and 15, 14.5 in equation (2),


Median = 14.5


Thus, median is 14.5.


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