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The median of a set of 9 distinct observ...

The median of a set of 9 distinct observations 20.5. If each of the largest 4 observation of the set is increased by 2, then the median of the new set

A

Is increased by 2

B

In decreased by 2

C

Is two times the original median

D

Remains the same as that of the original set

Text Solution

Verified by Experts

The correct Answer is:
D
Since n=9, the median term is the
`((9+1)/(2))^(th)=5th` term.
Last four observations are increased by 2.
Since the median is the `5^(th)` observation, which remains unchanged, there will be no change in the median.
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