CAS Exam MAS-II Spring 2019, Question 42
Study guide: Exam MAS-II
You have decided to perform k-means clustering with K=2 on the following dataset and have already randomly assigned clusters as follows:
| Observation | x_1 |
x_2 |
Initial Cluster |
|---|---|---|---|
| 1 | 5 | 5 | 2 |
| 2 | 4 | 6 | 2 |
| 3 | 3 | 0 | 1 |
| 4 | 5 | 3 | 1 |
| 5 | 5 | 1 | 2 |
| 6 | 3 | 6 | 1 |
| 7 | 2 | 5 | 2 |
- The centroid of the initial cluster 1 is
x_1 = 3.667,x_2 = 3.000 - The centroid of the initial cluster 2 is
x_1 = 4.00,x_2 = 4.250
Calculate the Euclidean distance of Observation 5 from the final centroid of Cluster 2.
- A) Less than 1
- B) At least 1, but less than 2
- C) At least 2, but less than 3
- D) At least 3, but less than 4
- E) At least 4
Answer this question and see the worked solution