Q.1
14 Marks(a)
What is Data Science? Give some application of Data Science.
(c)
Discuss the various types of data measurement scales with example.
Also asked in Summer 2026 Q3c, Winter 2025 Q2b, Summer 2024 Q4a OR
Gujarat Technological UniversitySummer 2023 examination
GTU 3151608 Data Science Summer 2023 Question Paper & PDF
B.E. · IT Engineering · Semester 5 · Subject code 3151608
- Total
- 70 marks
- To pass
- 23 marks (33%)
- Duration
- 2.5 Hours 2:30 PM – 5:00 PM
- Questions
- 5 with internal choice
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7 of 25 questions on this paper were also asked in other years. Each is marked below with the years it appeared.See all 38 repeated 3151608 questions, most asked first
Q.2
14 Marks(a)
Define probability mass function, degree of freedom and joint probability.
(b)
Consider the budget (in lakh) of Bollywood movies as below:
150, 60, 90, 180, 50, 69, 76, 88, 94, 63, 113, 126, 200, 91, 75 Draw the Box plot (Whisker plot) on above data.
(c)
What do you mean by symmetric, positively skewed and negatively skewed data distributions in data science? Give example of data for each distribution.
OR
(c)
Consider the marks of 30 students in data science subject as below:
40 30 45 62 85 95 45 78 76 82 68 84 88 84 79 49 67 85 83 92 73 88 46 88 74 88 96 88 36 88
ICalculate mean, median and mode.
IICalculate 95th and 50th percentile of the marks.
IIICalculate the inter quartile range (IQR).
Q.3
14 Marks(a)
Illustrate Geometric Distribution with memoryless property.
(b)
Differentiate Probabilistic Sampling and Non-Probability Sampling.
Also asked in Winter 2025 Q4b, Winter 2024 Q2b, Winter 2023 Q4a
(c)
Fashion Trends Online (FTO) is an e-commerce company that sells women apparel. It is observed that about 10% of their customers return the items purchased by them for many reasons (such as size, color, and material mismatch). On a particular day, 20 customers purchased items from FTO. Calculate:
IProbability that exactly 5 customers will return the items.
IIProbability that a maximum of 5 customers will return the items.
IIIProbability that more than 5 customers will return the items purchased by them.
IVAverage number of customers who are likely to return the items.
VThe variance and the standard deviation of the number of returns.
OR
(b)
Differentiate stratified sampling and cluster sampling.
Also asked in Summer 2025 Q4b OR, Winter 2023 Q1b
(c)
Explain bar chart, pie-chart and scatter plot with proper example in data science.
Q.4
14 Marks(a)
Consider the following transactional dataset:
TID Items BoughtT1 {M,O,N,K,E,Y}T2 {D,O,N,K,E,Y}T3 {M,A,K,E,O}T4 {M,U,C,K,Y}T5 {C,O,K,I,E,M}Calculate support, confidence and lift of rule M→O.(b)
What is sampling in data science? Illustrate the steps used in any sampling process.
(c)
Consider following data (X Y)=(20, 40), (40,85), (25, 50), (48, 90), (20,
41, (30, 62). Where X represents the marks of a student in midterm exam and Y represents the final exam marks. Predict the final exam marks of a student who received 45 marks in midterm exam using linear regression.
OR
(a)
Explain support, confidence and lift in association rule learning.
(b)
Discuss marginal probability and conditional probability with proper example.
(c)
Following table shows the data regarding number of visitors in theme park on various days. Sunny? High Temperature? Weekend? Lots of Visitors? Yes Yes Yes Yes Yes No Yes Yes No Yes No Yes Yes Yes No Yes Yes Yes No Yes Yes No No No No No Yes No Using Bayesian theorem, decide the number of visitors (Lots of visitors= yes or no) under following conditions:
ISunny=No, High Temperature= yes and Weekend=yes
IISunny=No, High Temperature= no and Weekend=no
Q.5
14 Marks(b)
Discuss precision, recall, F-score and specificity with respect to evaluation of classification result.
(c)
Draw the decision tree for data given in below table using Gini Index as an attribute selection measure. Also decides the Class of tuple with Owns Home= Yes, Married= No, Gender= Female, Employed= No. Owns Home? Married? Gender Employed? Class Yes Yes Male Yes B No No Female Yes A Yes Yes Female Yes C Yes No Male No B No Yes Female Yes C No No Female Yes A No No Male No B Yes No Female Yes A No Yes Female Yes C Yes Yes Female Yes C
OR
(a)
Discuss Z-score and Cook’s distance as outlier analysis for regression.
(b)
Consider the classification result where 80 data is classified as a positive class and out of this classification, 60 data is correctly classified (originally data is from positive class) and 20 data are incorrectly classified (originally data is from negative class). Also, 90 data is classified as a negative class and out of this classification, 80 data is correctly classified (originally data is from negative class) and 10 data is wrongly classified (originally data is from positive class). Calculate precision, recall, F-score and accuracy of this classification result.
(c)
Discuss decision tree algorithm for classification of data with example.
Also asked in Winter 2025 Q5c, Summer 2025 Q5c OR, Winter 2023 Q4c OR
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About this paper
Official Gujarat Technological University (GTU) examination paper for Data Science (Summer 2023, B.E. · IT Engineering, Sem 5). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.
Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.