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The table below shows the classification of 5 students at a certain step of K-Means algorithm. Variables used in the classification are the Math

  

The table below shows the classification of 5 students at a certain step of K-Means algorithm. Variables used in the classification are the Math and English scores of the students. Student 1 2 Math 65+R 83 75-R 85 54 3 4 5 English 70-R 71 65+R 69 91 Cluster ID 1 2 R=8 (a) Find the centroids of the 2 clusters based on the given Cluster ID. Correct your answers to 2 decimal places. (2 marks) (b) Classify the students into 2 clusters using the centroids calculated in (a), i.e. carrying out 1 iteration of the K- Means algorithm. (You need to show all the distances calculated in the process to 2 decimal places, but steps can be omitted.) (c) Find the SSE of the classification in (b). Correct your answer to 2 decimal places. 1 2 1 (5 marks) (3 marks)

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