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Q.


The following observations have been arranged in ascending order. If the median of
the data is 63, find the value of x.

29,   32,   48,   50,   x,   x + 2,    72,    78,   84,   95
 


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a

60

b

62

c

64

d

67  

answer is B.

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Detailed Solution

We have to find the value of x when it is given that the median of the data is 63.
29,   32,   48,   50,   x,   x + 2,    72,    78,   84,   95
Median of the given N samples is obtained by arranging them in ascending order.
There are 10 samples in the given data set, therefore N=10
As N is even,
median= N 2 th  sample+ N 2 +1 th sample 2  
Substitute the value of median in the expression and solve for x
Question Image Hence the value of x is 62.
Therefore the answer is option (2).
 
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