Below is a dataset:

Data Point

P$124$

P$233$

P$343$

P$4103$

P$594$

P$6513$

P$7612$

P$823$

Apply agglomerative hierarchical clustering algorithm on the above dataset. Use single link to calculate the proximity. You need to show your calculation.

Show the dendrogram. Choose an appropriate cutoff point and report the generated clusters based on your cutoff point. Justify your cutoff point.