DESCRIPTIVE STATISTICS

B.A/B.Sc., STATISTICS (WITH MATHMATICS)

REVISED SYLLABUS

CBCS/SEMESTER SYSTEM (W.E.F 2020-21 ADMITTED BATCH)

SEMESTER – I

PAPER – I: DESCRIPTIVE STATISTICS

UNIT-I

Introduction to Statistics: Importance of Statistics. Scope of Statistics in different fields. Concepts of primary and secondary data. Measures of Central Tendency: Mean, Median, Mode, Geometric Mean and Harmonic Mean

UNIT-II

Measures of Dispersion: Range, Quartile Deviation, Mean Deviation and Standard Deviation, Variance. Central and Non-Central moments and their interrelationship. Sheppard’s correction for moments. Skewness and kurtosis.

UNIT-III

Curve fitting: Bi- variate data, Principle of least squares, fitting of n^th degree polynomial. Fitting of straight line, Fitting of Second degree polynomial or parabola, Fitting of power curve and exponential curves.

Correlation: Meaning, Types of Correlation, Measures of Correlation: Scatter diagram, Karl Pearson’s Coefficient of Correlation, Rank Correlation Coefficient (with and without ties). Concept of multiple and partial correlation coefficients

UNIT-IV

Regression :Concept of Regression, Linear Regression: Regression lines, Regression coefficients and it’s properties, Regressions lines for bi-variate data and simple problems. Correlation vs regression.

UNIT-V

Attributes :Notations, Class, Order of class frequencies, Ultimate class frequencies, Consistency of data, Conditions for consistency of data for 2 and 3 attributes only , Independence of attributes , Association of attributes and its measures, Relationship between association and colligation of attributes, Contingency table: Square contingency, Mean square contingency, Coefficient of mean square contingency, Tschuprow’s coefficient of contingency.

Text Books:

1. K.Kapoor and  S.C.Gupta:    Fundamentals of Mathematical Statistics, Sulthand& Sons, New Delhi.
2. BA/BSc I year statistics – descriptive statistics, probability distribution – Telugu Academy- Dr M.JaganmohanRao, Dr. N.Srinivasa Rao, Dr P.Tirupathi Rao, Smt. Vijayalakshmi.
3. V.S. Sarma: Statistics Made Simple: Do it yourself on PC. PHI

Reference books:

1. Willam Feller: Introduction to Probability theory and its applications. Volume –I, Wiley
2. Goon AM, Gupta MK, Das Gupta B : Fundamentals of Statistics , Vol-I, the World Press Pvt.Ltd.,
3. Hoel P.G: Introduction to mathematical statistics, Asia Publishing
4. JaganMohan Rao and Papa Rao: A Text book of Statistics Paper-I.
5. Sanjay Arora and Bansi Lal: New Mathematical Statistics: Satya Prakashan , New Delhi