Question

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

• A. s increased by 2
• B. is decreased by 2
• C. is 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

We know that median is found when we arrange the observations in ascending or descending order. And if the number of observations are odd then it is the $\frac{n+1}{2}th$ term.
Since on arranging 9 observations 5th will be the median.
On changing 4 of any side won't affect the median and it'll remain same.