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
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 :
remains the same as that of the original set
Solution :
$$n = 9$$ then median term $$ = {\left( {\frac{{9 + 1}}{2}} \right)^{th}} = {5^{th}}$$ term. Last four observations are increased by 2. The median is $${5^{th}}$$ observation which is remaining unchanged.
∴ there will be no change in median.
Releted MCQ Question on Statistics and Probability >> Statistics
Releted Question 1
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