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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,

m e d i a n = N 2 t h s a m p l e + N 2 + 1 t h s a m p l e 2

Substitute the value of median in the expression and solve for x
Question Image

Question Image

Hence the value of x is 62.
Therefore the answer is option (2).

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