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

remains the same as that of the original set.

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.