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

• Statistics

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 median of the new set

1. is two times the original median
2. is increased by 2
3. remains the same as that of the original set
4. is decreased by 2

Answer

Since n = 9, the median term = (9+1)/2 = 5^th term.

Last four observations (6^th, 7^th, 8^th and 9^th) are increased by 2. The median is 5^th observation which remains unchanged.

The correct option is C.