hi i need help in datamining and machinlearning please correct my answer with explain. se the follwed picture $8$ 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 simplified Silhouette. Which of the

following statements are correct?

true

false

$S_1$ is better than $S_2$ in terms of simplified Silhouette.

$S_2$ is better than $S_3$ in terms of simplified Silhouette.

$S_1$ and $S_3$ are equally good terms of simplified Silhouette.

$S_3$ is better than $S_1$ in terms of simplified Silhouette.