hi i need help to correct my answer with you please be sure the anser i s correct. if $1$ answer wrong i lose point on that. no AI allowed. please explain the rules and answer $.5$ points

We have the following one$-$dimensional dataset:

In three attempts, k$-$means delivered the following three clustering solutions:

$S_1=\{A,B,C\},\{D,E,F,G\}$

$S_2=\{A,B\},\{C,D\},\{E,F,G\}$

$S_3=\{A,B,C,D\},\{E,F,G\}$

We want to compare the solutions using $T{D}^2.$ Which of the following state$-$

ments are correct?

false

$S_1$ is better than $S_2$ in terms of $T{D}^2.$

$S_2$ is better than $S_3$ in terms of $T{D}^2.$

$S_1$ and $S_3$ are equally good terms of $T{D}^2.$

$S_3$ is better than $S_1$ in terms of $T{D}^2.$