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Question

The median of a set of 9 distinct observations is 205. If each of the largest 4 observations of the set is increased by 2, then the median of the new set is


Your Answer
A
increased by 2
Your Answer
B
decreased by 2
Your Answer
C
two times the original median
Correct Answer
D
remains the same as that of the original set

Solution

The correct option is B remains the same as that of the original set
Since, there are 9 observations.
If we arrange them in increasing order, the median will be 5th observation. 
As only the largest 4 observations are increased by 2, this will have no effect on the median.
Hence, the median will remain same.

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