Question

Mean of a set of 23 values is 7, if each value is multiplied by 23 the new mean is

• A. 529
• B. 161
• C. 30
• D. 49

Answer 1

The correct option is B 161

$\Rightarrow$ Sum of the observation $=23\times 7=161$

If each observation is multiplied by $23$ then the sum is also multiplied by $23$.

$\therefore$ New sum $=23\times 161=3703$

$\Rightarrow$ New mean $=\frac{3703}{23}=161$