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MLP · K-means clustering

8 questions · 17 marks · 3 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Machine Learning Practice

K-means clustering

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
MSQ: One or more options correct. Select all to score.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

End Term · 31 Aug 2025 (FN)End Term

Q1MCQ1 Mark·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
5. E
Q2MSQ2 Marks·Choose all correct options
Asked 2 times Key ↓
1. AIt helps determine the optimal number of clusters by plotting the number of clusters vs. inertia (within-cluster sum of squares).
2. BThe ”elbow point” is where adding more clusters yields a significantly larger reduction in inertia.
3. CThe ”elbow point” is where adding more clusters yields diminishing returns in reducing inertia.
4. DIt always produces a clear and unambiguous elbow point.
5. EIt can be visualized using a plot of number of clusters vs. distortion score.

End Term · 31 Aug 2025 (AN)End Term

Q3MCQ1 Mark·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
5. E
Q4MSQ2 Marks·Choose all correct options
Asked 2 times Key ↓
1. AThe elbow method involves plotting the number of clusters against the inertia and identifying a point where the decrease in inertia slows down.
2. BThe elbow point represents the cluster count beyond which additional clusters do not significantly improve the model fit.
3. CThe metric used in the elbow method is the silhouette score.
4. DThe elbow point is always the smallest number of clusters in the plot.
5. EThe elbow method may sometimes be inconclusive if no clear bend is visible in the curve.

End Term · 22 Dec 2024 (AN)End Term

Q5MCQ2 Marks·Choose one option
Key ↓
1. AThe total amount spent by each customer.
2. BThe cluster assignments indicating which group each customer belongs to.
3. CThe number of items purchased by each customer.
4. DThe centroid coordinates of the clusters formed.
Q6MCQ3 Marks·Choose one option
Key ↓
1. AOutputs the number of iterations and the final silhouette score of the clusters.
2. BOutputs the cluster labels for each data point and the maximum distance between clusters.
3. COutputs the coordinates of the cluster centroids and the number of points in each cluster.
4. DOutputs the coordinates of the cluster centroids and the sum of squared distances of samples to their closest cluster center.
Q7MCQ3 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q8MSQ3 Marks·Choose all correct options
Key ↓
1. A
2. B
3. C
4. D

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1A

Q2A, C, E

Q3A

Q4A, B, E

Q5B

Q6D

Q7C

Q8A, B, C

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