The Mean and Median of 7 observations are 10 and 9, respectively. If 2 is subtracted from each observation, then the new Median and the new Mean will be:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 7 and 8, respectively
Subtracting the same number from every observation shifts every value by that number: the mean falls by it, and the middle value stays in the middle and falls by it too.
New median \(=9-2=7\)
New mean \(=10-2=8\)
The question asks for the median first and the mean second, so the pair is 7 and 8, not 8 and 7.