The mode and median of a set of 7 observations are 22.72 and 49.28, respectively. If each of the largest 3 observations of the set is increased by 4, then the median of the new set?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → remains the same as that of the original set
The median is the middle value when the observations are arranged in order. With 7 observations it is the 4th value: three values lie below it and three above.
The largest 3 observations are the 5th, 6th and 7th values.
Increasing each of them by 4 makes them larger still, so they stay above the 4th value and the order does not change.
The 4th value itself is not touched, so the median stays 49.28.
The mode, 22.72, is not needed to find the median.