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Use Analytic Solver to perform k -means clustering on the accompanying data set. Use variables x 1 , x 3 , and x 5 in

Use Analytic Solver to perform k-means clustering on the accompanying data set. Use variables x1, x3, and x5 in the analysis. Do not standardize the variables.

a. Set the number of clusters to 3. What are the size and cluster center values for the largest cluster?

Size of the Largest Cluster?

Cluster Center value of x1?

Cluster center value of x3?

Cluster center value of x5?

B) Perform the same analysis as in part a, but with variables standardized to z-scores. What are the size and cluster center values for the largest cluster?

Size of the Largest Cluster?

Cluster Center value of x1?

Cluster center value of x3?

Cluster center value of x5?

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546610000 771490000 118 428 506880000 561820000 587140000 290170000 485020000 130 128 8.9 207 30.1 4 2.2 124 755730000 377550000 439670000 87240000 292990000 410180000 208600000 58090000 268800000 128860000 3.1 245 31.1 6.1 5.8 836 36.3 395 11.1 418 1888000 28915000 2727000 7884000 3643000 6899000 11054000 530000 8453000 7942000 10000000 4933000 8013000 3688000 7639000 250000 1091000 2631000 2955000 7564000 14868000 4187000 5389000 904000 1549000 654000 911000 1710000 1465000 4578000 4608000 4644000 1262000 3249000 326000 2105000 474000 2.6 245910000 306500000 438590000 162140000 161280000 160 80 1.3 1 139 6.2 22.5 15.5 14,2 142.9 1.6 5.5 349 144 316 280580000 179880000 75450000 6150000 125580000 3260000 144870000 209710000 227750000 161350000 111550000 64860000 79990000 1.5 124 150 5.1 1.4 36300000 161230000 546610000 771490000 118 428 506880000 561820000 587140000 290170000 485020000 130 128 8.9 207 30.1 4 2.2 124 755730000 377550000 439670000 87240000 292990000 410180000 208600000 58090000 268800000 128860000 3.1 245 31.1 6.1 5.8 836 36.3 395 11.1 418 1888000 28915000 2727000 7884000 3643000 6899000 11054000 530000 8453000 7942000 10000000 4933000 8013000 3688000 7639000 250000 1091000 2631000 2955000 7564000 14868000 4187000 5389000 904000 1549000 654000 911000 1710000 1465000 4578000 4608000 4644000 1262000 3249000 326000 2105000 474000 2.6 245910000 306500000 438590000 162140000 161280000 160 80 1.3 1 139 6.2 22.5 15.5 14,2 142.9 1.6 5.5 349 144 316 280580000 179880000 75450000 6150000 125580000 3260000 144870000 209710000 227750000 161350000 111550000 64860000 79990000 1.5 124 150 5.1 1.4 36300000 161230000

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