## NPTEL Introduction to Machine Learning Week 10 Assignment Answers 2024

1. In a clustering evaluation, a cluster C contains 50 data points. Of these, 30 belong to class A, 15 to class B, and 5 to class C. What is the purity of this cluster?

- 0.5
- 0.6
- 0.7
- 0.8

Answer :-For Answers Click Here

2. Consider the following 2D dataset with 10 points:

(1, 1),(1, 2),(2, 1),(2, 2),(3, 3),

(8, 8),(8, 9),(9, 8),(9, 9),(10, 10)

Using DBSCAN with ϵ = 1.5 and MinPts = 3, how many core points are there in this dataset?

- 4
- 5
- 8
- 10

Answer :-For Answers Click Here

3. In BIRCH, using number of points N, sum of points SUM and sum of squared points SS, we can determine the centroid and radius of the combination of any two clusters A and B. How do you determine the radius of the combined cluster? (In terms of N,SUM and SS of both two clusters A and B)

Radius of a cluster is given by:

Answer :-For Answers Click Here

4. Which of the following properties are TRUE?

- sing the CURE algorithm can lead to non-convex clusters.
- K-means scales better than CURE for large datasets.
- CURE is a simplification of K-means and hence scales better than k-means for large datasets
- K-means being more expensive to run on large datasets, can give non-convex clusters too.

Answer :-

5. The pairwise distance between 6 points is given below. Which of the option shows the hierarchy of clusters created by single link clustering algorithm?

Answer :-

6. For the pairwise distance matrix given in the previous question, which of the following shows the hierarchy of clusters created by the complete link clustering algorithm.

Answer :-For Answers Click Here

7. Given a bag containing 6 red balls, 4 blue balls and 7 green balls, what is the probability that in 5 trials, at least 3 red balls are drawn from the bag?

- 0.24
- 0.38
- 0.17
- 0.43

Answer :-

8. Given a bag containing 6 red balls, 4 blue balls and 7 green balls, what is the probability that in 5 trials, at least 3 red balls are drawn from the bag?

- 0.24
- 0.38
- 0.17
- 0.43

Answer :-For Answers Click Here