jee-main 2014 Q76

jee-main · India · 09apr Measures of Location and Spread
In a set of $2n$ distinct observations, each of the observation below the median of all the observations is increased by 5 and each of the remaining observations is decreased by 3. Then, the mean of the new set of observations:
(1) Increases by 2.
(2) Increase by 1.
(3) Decreases by 2.
(4) Decreases by 1.
In a set of $2n$ distinct observations, each of the observation below the median of all the observations is increased by 5 and each of the remaining observations is decreased by 3. Then, the mean of the new set of observations:\\
(1) Increases by 2.\\
(2) Increase by 1.\\
(3) Decreases by 2.\\
(4) Decreases by 1.