Question: Consider the data in the following table: data point number 1 2 3 1 -7.82 -4.58 -3.97 2 -6.68 3.26 2.71 3 4.36 -2.19 2.09

Consider the data in the following table:

data point number

1

2

3

1

-7.82

-4.58

-3.97

2

-6.68

3.26

2.71

3

4.36

-2.19

2.09

4

6.72

0.88

2.80

5

-8.64

3.06

3.5

6

-6.87

0.57

-5.45

7

4.47

-2.62

5.76

8

6.73

-2.01

4.18

Assume the points have been drawn from two clusters (k = 2). Begin with the means of the clusters as follows:

m1= 111 and m2= -11-1

Perform one iteration of k-means clustering using Euclidean distance as the similarity metric. At the end of this iteration, report the following information:

1. The data point numbers in cluster 1

2. The new mean value for cluster 1

3. The data point numbers in cluster 2

4. The new mean value for cluster 2

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