Information Technology Engineering Sem 6 Mathematics For Data Science Question Paper PDF 2026 - Mumbai University | munotes

Questions asked in this paper

1. Q1 (a) By using matrices, Solve the following system of linear equation 5 marks
   • (b) Differentiate between Simple Random Sampling and Stratified Random 5
   • (c) Explain Scatter plots. 5
   • (d) Compare constrained and non constrained optimization Techniques Find Singular Value of Decomposition of matrix 1 5
   • (b) A company gave an intensive training to its salesmen to increase the sales. A random sample of 10 salesmen was selected and the value (in lakhs of Rupees) of their sales per month, made before and after the training is recorded in the Test whether there is any increase in mean sales at 5% level of significance 10
2. Q3 (a) was conducted with 500 female students of which 60% were intelligent, 40% had uneducated fathers, while 30 % of the not intelligent female students had educated fathers. Test the hypothesis that the education of fathers and intelligence of female students are independent at 5% level of 10 marks
   • (b) What is a Graph? Explain any four types of Graph along with its uses. 10
3. Q4 (a) Explain types of data. Compare and contrast quantitative and qualitative 10 marks
   • (b) Discuss the need for exploratory data analysis and explain types of 10
4. Q5 (a) Minimize the function = 4x, + 8x, — x? — x3 10 marks
   • (b) Find the minimizer of f(x) = x? + using bisection method in (2,5) withina (0) Paper Subject Code: 48829 11] Mathematics for Data Science
5. Q6 Write short notes on (any four) 20 marks
   • (c) Benefits of Dimensionality Reduction. 5
   • (d) 5 Number Summary (the box and whisker plot.) 5
   • (f) Exponential function and their graph. 5

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