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Question


Find the median of the following data: 13, 15, 18, 14, 22, 42, 9, 6, 15, 21.


Options:
A .   14
B .   15
C .   16
D .   17
Answer: Option B
:
B

Median is the middle observation of the given data, when arranged in either ascending or descending order.
Arranging the observations in ascending order, we get 
6, 9, 13 , 14, 15, 15, 18, 21, 22, 42


Since, there are even number of observations.
Now median, 
=  Average of ( n2)th observation and  (n2+1)th observation
=   5th term +  6th term2   
= 15+152
= 15
Thus, median of the given data is 15.



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