MTL 108 (Introduction to Statistics) 4 Credits (3-1-0)

II Semester 2016-17

Lecture Classes (Slot D): Tuesday, Wednesday and Friday between 9:00 AM and 9:50 AM in LH 510.

Tutorial Classes: LH 519 on Monday (Vidhem), Tuesday (Raghav), Thursday (Puneet) and Friday (Abhinav) between 2:00 PM and 2:50 PM.

Overlap: MTL 390 (Statistical Methods)

For the students who registered II Semester 2016-17, Re Major (for both I grade and E Grade) is scheduled on July 28th, 2017 (Friday) between 12 noon and 2 PM. Venue will be MZ 195, Committee Room, Department of Mathematics.




Measures of central tendency, Dispersion, Skewness, Kurtosis, Data Representation using Histogram, Pie Chart, Boxplot, Biplot, Multi Dimensional Scaling etc. Concept of Random Variable, Some common discrete and continuous distributions, Distribution of Functions of Random Variables, Bivariate and Multivariate random variables. Sampling Distribution, Theory of Estimation, Properties of an estimator, Cramer Rao Theorem, Rao Blackwellization, One-sample and Two sample tests of Proportion, mean, variance, Critical regions, Neyman Pearson Lemma. Tests for Goodness of fit, Chi-square Test, Kolmogorov Smirnov Test, One sample and paired sample tests: Sign Test, Signed-rank Test, Run tests etc. Linear regression, Non-linear regression, Logit and Probit Methods.

(No. of Lectures - 42)

Main Text Books

1.      Anthony J Hayter; Probability and Statistics for Engineers, Cengage learning, 4th Edition, 2012.

2.      Freund, Wilson and Mohr: Statistical Methods, Academic Press, 3rd Edition, 2010.

3.      Hogg and Tanis: Probability and Statistical Inference, Pearson, 9th Edition, 2014.

4.      Vijay K. Rohatgi and A.K. Md. Ehsanes Saleh, Dasgupta, An Introduction to Probability and Statistics, John Wiley, edition, 3rd edition, 2015.

Reference Books

1.      Introductory Probability and Statistical Applications, Paul L. Meyer, Addison-Wesley, 1966.

2.      Sheldon Ross, Introduction to Probability and Statistics for Engineers and Scientists, 5th Edition, Academic Press, 2014.

Table Values provided by Prof. Demetris Athienitis

Tutorial Sheets

Note: It seems, some students found that the answers provided for few problems in the following tutorial sheets are not correct. Please let me know these errors by email.

Tutorial Sheet 1 Answer

Tutorial Sheet 2 Answer

Tutorial Sheet 3 Answer

Tutorial Sheet 4 Answer

Tutorial Sheet 5 Answer

Tutorial Sheet 6 Answer

Tutorial Sheet 7 Answer

Scheme of Evaluation


Two Minor Tests of 25 Marks each

2 X 25


One Major Examination

1 X 50







         Students are encouraged to contact the Course Coordinator or Tutorial Teachers for any difficulties regarding the course.

         Only those students who could not appear for one of the minor tests due to medical reasons are eligible for the make up examination which will be conducted before the major examination. However, submission of a valid medical certificate adhering to the institute norms is mandatory.

         The evaluated minor answer books will be returned to the students and they must retain with them as a proof of the marks secured.

INFORMATION about the Instructors



Room No.

Phone No.


S Dharmaraja

MZ 161



INFORMATION about the Tutorial Teachers



Room No.

Phone No.


Puneet Pasricha




Students can join the discussion forum in

See Course Website: for updates.



(S Dharmaraja)


This page maintained by Dr. S. Dharmaraja and last updated Monday, July 24, 2017.