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Question

If the median of the following data is 78, then the value of x is .

44, 47, 63, 65, x + 13, 87, 93, 99, 110.
(data is in ascending order)


A
75
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B
65
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C
78
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Solution

The correct option is B 65
Observations are already arranged in ascending order
44, 47, 63, 65, x + 13, 87, 93, 99, 110

Since number of observations is 9 , the median will be the middle term.

So, median is the (102)th term = 5th term
5th term = x + 13

Median = x + 13
 78 = x + 13
  x = 78 - 13
= 65
 
Thus, the value of x is 65.

Mathematics

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