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Question

List I: 3,6,8,19
List II: x,3,6,8,19
If the median of the numbers in list I above is equal to the median of the numbers in list II above, what is the value of x?

A
6
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B
7
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C
8
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D
9
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E
10
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Solution

The correct option is A 7
Median is the middle value of the data values after arranging the data values in the ascending or descending order.
If n is odd, then the median is (n+12)th value.
If n is even, then the median is (n2)th+(n2+1)2th value.

List I:3,6,8,19
Total number of values is n=4 (even) then
the median is (42)th+(42+1)2th

=(2)nd+(3)rd2=6+82=7

List II:x,3,6,8,19
Total number of values is n=5 (odd) then
the median is (5+12)th=3rd value.

Given that median of List I is equal to the median of List II. Therefore, for List II, x=7 should be median value.

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