Q.

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

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a

Remains the same as that of the original set

b

Is increased by 2

c

Is decreased by 2

d

Is two times the original median

answer is A.

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Detailed Solution

n = 9 then median term = (9+12)th=5th term, Last four observations are increased by 2. The median is 5th observation which is remaining unchanged.∴ there will be no change in median.
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The median of a set of 9 distinct observations is 20.5. if each of the largest 4 observations of the set is increased by 2, then the median of the new set