Basic Statistics and Probability

Paper Code: 
STT 102
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
70.00
Objective: 

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

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 and their advantages and disadvantages.

9.00
Unit II: 
Organization of data

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. Graphical presentation of data: Histogram, Frequency Polygon, Frequency curve and Ogives

9.00
Unit III: 
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

9.00
Unit IV: 
Moments

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

9.00
Unit V: 
Probability

Random Experiment, Trial, Events and their types. Classical, Statistical and Axiomatic definition of probability and its properties (simple). Addition and Multiplication theorems of Probability and their application, Conditional Probability and Independent events. Baye’s theorem and its application (simple questions).

Essential Readings: 

1. Goon, A.M., Gupta, M.K. and Dasgupta, B. (1991): Fundamentals of Statistics, Volume I, The World Press Pvt Ltd , Calcutta

2. Gupta, S.C. and Kapoor ,V.K.: Fundamentals of Mathematical Statistics, S Chand & Company, New Delhi.

3. Mood Alexander M., Graybill Frankline and Boes Duane C.: Introduction to Theory of Statistics, Mc Graw Hill & Company Third Edition

References: 

1. Gupta, O.P.:Mathematical Statistics, Kedarnath Publication, Meerut

2. Yule, G.Udny and Kendall,M.G. (1999): An Introduction to the theory of Statistics, 14th Edition.

3. Hooda, R.P. (2002): Introduction to Statistics: Macmillan India Ltd. 1st edition.

4. Speigel M.R., (1967): Theory and Problem of Statistics, Schaum’s Series.

5. Meyer, P.L.(1970) : Introductory Probability and Statistical Application, Addision Wesley.

6. Rohatgi, V.K. and Saleh, A.K. Md. Ehsanes (2001): An Introduction to Probability Theory and Statistics, Second Edition, John Wiley andSons.

7. Bhat,B.R (1981): Modern Probability Theory, New Age Publishers, Third edition,

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