Basic Statistics and Probability

Paper Code: 
STT-102
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

This paper is designed to acquaint the students with the fundamental statistical techniques, to understand the role of statistics for analysing and interpreting data meaningfully.

 

Students will be able to:

Course

Learning outcomes (at course level

Learning and teaching strategies

Assessment Strategies

 

Paper Code

Paper Title

STT-102

Basic Statistics and Probability

CO 6: Define and use the basic terminology of statistics.

 

CO 7: Classify the data and prepare various diagrams and graphs.

 

CO 8: Demonstrate the use of exploratory and descriptive data analysis.

 

CO 9: Learn the concept of elementary probability theory and its application.

 

CO 10: Identify the problem and apply appropriate laws of probability and Bayes theorem.

Approach in teaching:

Interactive Lectures,

Group Discussion,

Classroom Assignment

Problem Solving Sessions

 

Learning activities for the students:

Assignments

Seminar

Presentation

Subject based  Activities

Classroom Quiz

Assignments

Class Test

Individual Presentation

 

9.00
Unit I: 
Basic Concepts

Definition, scope, and limitations of statistics, Concept of statistical population. Types of data- Primary and Secondary data, Univariate and Bivariate data. Census and Sample Survey. Qualitative and Quantitative classification, discrete and continuous classification, Geographical and Chronological classification. Construction of frequency tables, frequency distribution for continuous and discrete data, cumulative frequency distributions (inclusive and exclusive methods.

12.00
Unit II: 
Graphical presentation of data

Histogram, Frequency Polygon, Frequency curve and Ogives.

Univariate Data – Measures of Central Tendency – Definition, different measures of Central Tendency, merits and demerits. Measure of Dispersion- Definition, different measures of Dispersion, merits and demerits. Coefficient of variation. Relative dispersions.

8.00
Unit III: 
Moments

Central moments and Non-central moments and their computation from data. Absolute and Factorial moments. Concept of Quartiles, deciles and percentiles. Measure of Skewness and Kurtosis, Sheppard’s, Correction for moments (without proof).

8.00
Unit IV: 
Probability I

: Set Theory, Power set, De- Morgan Law, Random Experiment, Trial, Events and their types. Classical, Statistical and Axiomatic definition of probability and its properties (simple).Addition theorem of probability and their application.

8.00
Unit V: 
Probability II

Multiplication theorems of Probability and their application, Conditional Probability and complete, Independent and pairwise events. Baye’s theorem and its application (simple questions).

Essential Readings: 
  • Goon, A.M., Gupta, M.K. and Dasgupta, B. (1991): Fundamentals of Statistics,

Volume I, The World Press PvtLtd , Calcutta

  • Gupta, S.C. and Kapoor, V.K.: (2000) Fundamentals of Mathematical Statistics, S Chand & Company, New Delhi, tenth edition.
  • Mood Alexander M., Graybill Frankline and Boes Duane C. (2007): Introduction to Theory of Statistics, McGraw Hill & Company Third Edition
  • Gupta, O.P.: Mathematical Statistics, Kedarnath Publication, Meerut

 

 

References: 

SUGGESTED READINGS:

 

  • Yule, G. Udny and Kendall, M.G. (1999): An Introduction to the theory of Statistics, 14th Edition.
  • Hooda, R.P. (2002): Introduction to Statistics: Macmillan India Ltd. 1st edition.
  • Speigel M.R., (1967): Theory and Problem of Statistics, Schaum’s Series.
  • Meyer, P.L.(1970) : Introductory Probability and Statistical Application, Addision Wesley.
  • Rohatgi, V.K. and Saleh, A.K. Md. Ehsanes (2009): An Introduction to Probability Theory and Statistics, Second Edition, John Wiley and Sons.
  • Bhat, B.R (1981): Modern Probability Theory, New Age Publishers, Third edition.

 

 

e-RESOURCES:

 

 

JOURNALS:

 

  • Sankhya The Indian Journal of Statistics, Indian Statistical Institute
  • Aligarh Journal of Statistics, Department of Statistics and Operations Research, Aligarh Muslim University
  • Afrika Statistika, Saint-Louis Senega University
  • International Journal of Statistics and Reliability Engineering, Indian Association for Reliability and Statistic
  • Journal of the Indian Society for Probability and Statistics, Indian Society for Probability and Statistics
  • Journal of the Indian Statistical Association, Indian Statistical Association
  • Statistica, Department of Statistical Sciences Paolo Fortunato, University of Bologna
  • Statistics and Applications, Society of Statistics, Computer and Applications
  • Stochastic Modeling and Applications, MUK Publications and Distributions

 

Academic Year: 
2022-2023
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