jee-main 2018 Q73

jee-main · India · 15apr Measures of Location and Spread
The mean of a set of 30 observation is 75. If each observations is multiplied by non-zero number $\lambda$ and then each of them is decreased by 25, their mean remains the same. Then, $\lambda$ is equal to :
(1) $\frac { 4 } { 3 }$
(2) $\frac { 1 } { 3 }$
(3) $\frac { 10 } { 3 }$
(4) $\frac { 2 } { 3 }$
The mean of a set of 30 observation is 75. If each observations is multiplied by non-zero number $\lambda$ and then each of them is decreased by 25, their mean remains the same. Then, $\lambda$ is equal to :\\
(1) $\frac { 4 } { 3 }$\\
(2) $\frac { 1 } { 3 }$\\
(3) $\frac { 10 } { 3 }$\\
(4) $\frac { 2 } { 3 }$