The median of a set of nine distinct observations is 20.5. If each of the last four observations of the set is increased by 2 , then the median of the new set

Question

The median of a set of nine distinct observations is 20.5. If each of the last four observations of the set is increased by 2 , then the median of the new set (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

Tardigrade Admin · Accepted Answer

Since n=9, median term =((9+1/2)) text th =5 th term. Now, the last four observations are increased by 2 . Since the median is the 5 th observation, which remains unchanged, there will be no change in median.

Q. The median of a set of nine distinct observations is $20.5$ . If each of the last four observations of the set is increased by $2$ , then the median of the new set

Is increased by 2

Is decreased by 2

Is two times the original median

Remains the same as that of the original set

Since $n = 9$ , median term $= (\frac{9 + 1}{2})^{th} = 5$ th term.
Now, the last four observations are increased by $2$ .
Since the median is the $5 t h$ observation, which remains unchanged, there will be no change in median.

Q. The median of a set of nine distinct observations is 20.5. If each of the last four observations of the set is increased by 2 , then the median of the new set