Q$1(2\mathrm{.}5$ points$)$

Cluster the data shown in the table with $K-$means algorithm. The task requirements include:

The initial centroids are as follows:

a$.$ Calculate the centroids and cluster the data points into two groups $(K=2).(1)$

b$.$ Update the centroids and each cluster until there is no update required $($no data point is

assigned to a different cluster in the update process$).(1\mathrm{.}5)$