The median of a set of 9 distinct observations is 20.5. If each of the largest 4

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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

Options:

A . is 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: Option D
:
D
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} t h

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.

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