Class 11

Math

Algebra

Sequences and Series

Multiplied by 3 and then divided by 2.

$=672 =12$

If $xˉ$ is the mean of n number of observations $x_{1},x_{2},x_{3},....,x_{n},$ then mean of $ba x_{1},ba x_{2},ba x_{3},...,ba x_{n}$ is $ba xˉ$.

Thus, when each of the given data is multiplied by $23 $,

the mean is also multiplied by $23 $

Mean of the original data is 12.

Hence, the new mean $=23 ×12=236 =18$