CAT 2022 Slot 3 Paper

The number of 4-digit numbers possible using $1,1,2$, and 4 is $\frac{4!}{2!}=12$
Number of $1\prime \mathrm{s},2\prime \mathrm{s}\mathrm{and}4\prime \mathrm{s}$ in units digits will be in the ratio $2:1:1$, i.e. $61\prime \mathrm{s},32\prime \mathrm{s}\mathrm{and}34\prime \mathrm{s}.$

Similarly, in tens digit, hundreds digit and thousands digit as well.
Therefore, sum $=24+24\left(10\right)+24\left(100\right)+24\left(1000\right)=24\left(1111\right)$
Mean $=\frac{24\left(1111\right)}{12}=2222$
The answer is option A.