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

• A. increased by $2$
• B. decreased by $2$
• C. two times the original median
• D. remains the same as that of the original set

Answer 1

The correct option is D 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 $5$th 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.