gs gs119 Data Exploration and Analysis - Measuring Data Similarity and Dissimilarity - Quiz No.3
gs gs119 Data Science Quiz
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Question 1: Which of the following is true about the Euclidean distance between the given objects?
| object | Result 1 | Result 2 | Result 3 | Result 4 | Result 5 |
|---|---|---|---|---|---|
| Object 1 | 1 | 3 | 2 | 3 | 1 |
| Object 2 | 3 | 7 | 4 | 8 | 6 |
The Euclidean distance between the objects is 7.5
The Euclidean distance between the objects is 4.2
The Euclidean distance between the objects is 3.7
The Euclidean distance between the objects is 8.6
Question 2: Which of the following is true about the Manhattan distance between the given grades of the students?
| object | Grade 1 | Grade 2 | Grade 3 |
|---|---|---|---|
| Student 1 | 3.5 | 3.2 | 2.4 |
| Student 2 | 3 | 2.7 | 3.9 |
The Manhattan distance between the objects is 4.5
The Manhattan distance between the objects is 3.5
The Manhattan distance between the objects is 2.5
The Manhattan distance between the objects is 1.5
Question 3: Which of the following statement is true regarding the Euclidean distance?
The Euclidean distance is equal to the L1 norm
The Euclidean distance is equal to the L2 norm
The Euclidean distance is equal to the L3 norm
The Euclidean distance is equal to the L4 norm
Question 4: L∞ norm is also known as _____
Uniform norm
Non-uniform norm
Jaccard norm
L1 norm
Question 5: Which of the following is true about the supremum distance between the given objects?
| object | Part 1 | Part 2 | Part 3 |
|---|---|---|---|
| object 1 | 3 | 4 | 8 |
| object 2 | 2 | 7 | 3 |
The supremum distance between the objects is 2
The supremum distance between the objects is 6
The supremum distance between the objects is 4
The supremum distance between the objects is 5
Question 6: Which of the following is true about the Euclidean distance between the grades of students if Grade 1 carries double weightage than Grade 2?
| object | Grade 1 | Grade 2 |
|---|---|---|
| Student 1 | 3 | 2 |
| Student 2 | 2 | 2 |
The Euclidean distance is 2.7
The Euclidean distance is 4.4
The Euclidean distance is 2.9
The Euclidean distance is 1.4`
Question 7: Which of the following is the dissimilarity matrix for the movie ratings data given in the diagram, where each movie can have a rating of either average, good and excellent and distance measure be Euclidean distance?
| Survey | Rating |
|---|---|
| Person 1 | Good |
| Person 2 | Excellent |
| Person 3 | Good |
\(\begin{bmatrix} 0 & & \\ 0.5 & 0 & \\ 0 & 0.5 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 0.5 & 0 & \\ 0.5 & 0.5 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 0.5 & 0 & \\ 0 & 1 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 1 & 0 & \\ 0 & 0.5 & 0 \end{bmatrix}\)
Question 10: Which of the following is true about the cosine similarity between A = (1, 2, 4, 2, 6) and B = (2, 4, 6, 5, 3)?
The cosine similarity is 0.12
The cosine similarity is 0.01
The cosine similarity is 0.43
The cosine similarity is 0.56
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