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96. Which of the following clustering algorithms suffers from the problem of convergence at local optima?
1. K-Means clustering algorithm.
2. Agglomerative clustering algorithm.
3. Expectation-Maximization clustering algorithm
4. Diverse clustering algorithm.

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97. In the figure below, if you draw a horizontal line on y-axis for y=2. What will be the number of clusters formed?

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98. Assume, you want to cluster 7 observations into 3 clusters using K-Means clustering algorithm. After first iteration the clusters: C1,C2,C3 has the following observartions:
C1: {(1,1), (4,4), (7,7)}
C2: {(0,4), (4,0)}
C3: {(5,5), (9,9)}
What will be the cluster centroids if you want to proceed for second iteration?

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99. Assume, you want to cluster 7 observations into 3 clusters using K-Means clustering algorithm. After first iteration the clusters: C1,C2,C3 has the following observartions:
C1: {(1,1), (4,4), (7,7)}
C2: {(0,4), (4,0)}
C3: {(5,5), (9,9)}
What will be the Manhattan distance for observation (9,9) from cluster centroid C1 in the second iteration?

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100. If two variables V1 and V2 are used for clustering. Which of the following are true for K-means clustering with k = 3?
1. If V1 and V2 has a correlation of 1, the cluster centroids will be in a straight line
2. If V1 and V2 ha a correlation of 0, the cluster centroids will be in straight line
Choose the correct answer?

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