Q. Which of the following is NOT a step in the K-means clustering algorithm?
A.
Assigning data points to the nearest centroid
B.
Updating the centroid positions
C.
Calculating the silhouette score
D.
Choosing the initial centroids
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Solution
Calculating the silhouette score is not a step in the K-means algorithm; it is an evaluation metric used after clustering.
Correct Answer:
C
— Calculating the silhouette score
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Q. Which of the following methods can be used to determine the optimal number of clusters in K-means?
A.
Elbow method
B.
Silhouette analysis
C.
Gap statistic
D.
All of the above
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Solution
All of the mentioned methods (Elbow method, Silhouette analysis, and Gap statistic) can be used to determine the optimal number of clusters in K-means.
Correct Answer:
D
— All of the above
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Q. Which of the following methods can be used to evaluate the quality of clusters formed by K-means?
A.
Silhouette score
B.
Davies-Bouldin index
C.
Both A and B
D.
None of the above
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Solution
Both the Silhouette score and the Davies-Bouldin index are methods used to evaluate the quality of clusters formed by K-means.
Correct Answer:
C
— Both A and B
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Q. Which of the following statements about K-means clustering is true?
A.
It can only be applied to spherical clusters
B.
It is guaranteed to find the global optimum
C.
It can be sensitive to the initial placement of centroids
D.
It does not require any distance metric
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Solution
K-means can be sensitive to the initial placement of centroids, which can lead to different clustering results on different runs.
Correct Answer:
C
— It can be sensitive to the initial placement of centroids
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Q. Which of the following statements is true about K-means clustering?
A.
It can only be applied to large datasets
B.
It is sensitive to the initial placement of centroids
C.
It guarantees finding the global optimum
D.
It can handle categorical data directly
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Solution
K-means is sensitive to the initial placement of centroids, which can affect the final clustering result.
Correct Answer:
B
— It is sensitive to the initial placement of centroids
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