Clu jammu 1st sem statics syllabus

CLUSTER UNIVERSITY JAMMU
SYLLABUS – SEMESTER 1st (CBCS) – STATISTICS
(CORE COURSE - THEORY)
COURSE CODE : 1STSTC0101

TITLE: STATISTICS AND PROBABILITY
COURSE CODE : 1STSTC0101 CREDITS : 04
DURATION OF EXAMINATION TOTAL: 100 Marks
MINOR TEST : 01 Hour MINOR TEST: 20 Marks
MAJOR TEST : 2.5 Hours MAJOR TEST: 80 Marks

OBJECTIVES:

The objective of this course is to impart students about the basic knowledge of the central
tendency and measures of dispersion along with the usefulness of correlation &
regression.

Unit I (12 HOURS)

Concepts of a statistical population and sample from a population, quantitative and
qualitative data, nominal, ordinal and time-series data, discrete and continuous data,
Primary and Secondary data. Presentation of data by tables and by diagrams, frequency
distributions for discrete and continuous data, graphical representation of a frequency
distribution by histogram and frequency polygon, cumulative frequency distributions
(inclusive and exclusive methods). Measures of location (or central tendency): Mean
Median, Mode, G.M. and H.M., their merits and demerits.

Unit II (12 HOURS)

Partition values, Absolute and Relative measures of Dispersion: Range. Inter Quartile
range, Mean Deviation, Standard Deviation, Variance & Coefficient of Variation: their
merits and demerits. Moments: Definition, interrelationship between moments about
origin and moments about mean and vice-versa, effect of change of origin and scale on
moments. Shephard's correction (without proof). Skewness and Kurtosis: meaning and
measures.

Unit III (12 HOURS)

Bivariate data: Scatter diagram, Correlation. Karl Pearson coefficient of correlation,
Spearman's rank correlation coefficient. Principle of least-square and fitting of
polynomials and exponential curves.

Unit IV (12 HOURS)

Regression, Lines of regression, Regression coefficients with properties. Multiple and
Partial correlations: Derivation & Simple illustration.(for 3 variables only).

Unit V (12 HOURS)

Random experiment, sample point and sample space, event, algebra of events, Definition
of Probability - classical, relative frequency and axiomatic approaches to probability,
merits and demerits of these approaches (only general ideas to be given). Theorem on
probability, conditional probability, independent events. Baye’s theorem and its
applications.

REFERENCES:

1. J.E. Freund (2009): Mathematical Statistics with Applications, 7th Ed., Pearson Education.
2. A.M. Goon, M.K. Gupta and B. Dasgupta (2005): Fundamentals of Statistics, Vol. I, 8th
Ed., World Press, Kolkatta.
3. S.C. Gupta and V.K. Kapoor (2007): Fundamentals of Mathematical Statistics, 11th Ed.,
Sultan Chand and Sons.
4. R.V. Hogg, A.T. Craig and J.W. Mckean (2005): Introduction to Mathematical Statistics,
6th Ed., Pearson Education.
5. A.M. Mood, F.A. Graybill and D.C. Boes (2007): Introduction to the Theory of Statistics,
3rd Ed., Tata McGraw Hill Publication.

INSTRUCTIONS FOR PAPER SETTERS AND CANDIDATES:

1. The question paper for Semester End Examination will consist of two parts:
a) Part A will comprise of short answer /objective type questions of 16 marks (five
questions of 2 marks and six questions of 1 mark each) covering all five units.
b) Part B will comprise of eight questions of 16 marks each with two questions each from
II, III, IV and V units. The students will have to attempt four questions selecting one
question from each unit. Each question of 16 marks will have two parts: (i) long answer
question of 12 marks (ii) short answer question/numerical problem of 4 marks each. The
duration of the examination will be 2.5 hours.
2. The Minor Test will be held for unit I of the syllabus. It will comprise of two parts:
a) Part A consists of three long answer questions of 5 marks each and students will have to
attempt any two.
b) Part B consists of seven short answer questions of 2 marks each and students will have attempt any five.