The median of a set of 11 distinct observations is 22.5. If each of the largest 5 observations of the set is increased by 5, then the median of the new set
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → remains the same as that of the original set.
The correct answer is: remains the same as that of the original set
- The median of a set is the middle value when the observations are arranged in order.
- Here, the set has 11 observations, so the 6th observation is the median.
- Increasing the largest 5 observations (positions 7–11) does not affect the middle value (6th observation).
Hence, the median remains 22.5.