This assignment is hand calculation work. Except for a calculator, nothing else is expected to be required. You must do calculations manually and report all the steps you have followed to reach the decisions (including formulas). However, you are suggested to use digital editing software, such as WORD, EXCEL, PDF or Simple TEXT files, to submit your results as report.

Please do not submit (1) a picture of your hand-written notes and (2) any coding in R, Python or WEKA. Calculations done using such program tools will not be graded. You are expected to show the details of all steps in your calculation to score full marks.

K-means clustering is a method of unsupervised machine learning from data, in which the proximity between data points are calculated in terms the Euclidean distance between them. A small two dimensional dataset is given here. Answer the following two questions using this dataset.