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Q2.a. The 48 observations in data set were portioned by 3 means clustering metho

ID: 3282318 • Letter: Q

Question

Q2.a. The 48 observations in data set were portioned by 3 means clustering method and the following information is available Cluster Centers Doliars 0.013367081.297329632 7222222 1.605122609 Original Cluster3 Clustan2Cluser Cluster-J 126 0521 368265239 02916376 371901 208 831901208 Data Summary 0.572324172 Claster- Cluster 6899784 26.37038542 4 0.6520125 . The most homogeneous cluster is a. Cluster 1 b. Cluster 2 c. Cluster 3 2. The most heterogeneous cluster is a. Cluster 1 b. Cluster 2 c. Cluster 3 3. The most closest from each other c lusters are a. Cluster 1 and 2 b. Cluster 1 and 3 c. Cluster 2 and 3 4. The most distinct from each other clusters are a. Cluster 1 and 2 b. Cluster 1 and 3 c. Cluster 2 and 3

Explanation / Answer

1. The most homogeneous cluster is:
a. Cluster 1
b. Cluster 2
c. Cluster 3


Cluster 1 , the least value of average distance is for cluster 1
Cluster
#Obs
Avg. Dist
Cluster 1
24
0.572324172

2. The most heterogeneous cluster is:
a. Cluster 1
b. Cluster 2
c. Cluster 3

Cluster2

The highest value for avg distance is for cluster 2
Cluster 2
15
0.744118115

3. The most closest from each other clusters are:
a. Cluster 1 and 2
b. Cluster 1 and 3
c. Cluster 2 and 3


Cluster 1 and cluster 2 are closest
Look the normalised table for distance between the centers , lowest value is 2.029163736 , which is between cluster1 and cluster 2

4. The most distinct from each other clusters are:
a. Cluster 1 and 2
b. Cluster 1 and 3
c. Cluster 2 and 3


Cluster 2 and cluster 3 are farthest , as the distance between the centers is highest for these 2 clusters

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