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UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN STATISTICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)
Allied - Paper I - Statistical Methods and Their Applications I
The emphasis is solely upon the applicational understanding and practice of statistical methods, with specific reference to problems in physical, natural, and earth sciences.
UNIT - 1:
Nature and scope of statistical methods and their limitations - Classification, tabulation and diagrammatic representation of various types of statistical data - Frequency curves and Ogives - Graphical determination of percentiles, quantiles and their uses, Lorenz curve.
UNIT - 2:Measures of location - Arithmetic mean, median, mode, Geometric mean, Harmonic mean and their properties - -merits and demetits.
UNIT - 3:
Measures of dispersion - Range, mean deviation, quartile deviation, standard deviation, coefficient of variation, skewness and kurtosis - and their properties.
UNIT - 4:
Probability of an event - Finitely additive probability space addition and multiplication theorems - Independence of events - conditional probability - Bayes' theorem.
UNIT - 5:
Concepts of random variable - Mathematical expectation - Moments of random variable (raw and central moments) - Moment generating function - Chebycheff's inequality - simple problems.
Books for Study References:Mode, E.B.: Elements of Statistics - Prentice Hall