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Title: Descriptive Statistics  (Code-09050105)B.Sc. Mathematics (Hons) – 1st semester

 S.No. Content of the topics Learning      Objectives Teaching Guidelines Methodology Time (Hours) 1 Introduction of Statistics Basic knowledge of various types of data, Collection,classification and tabulation of data. Presentation of data: histograms, frequency polygon, frequency curve and ogives. Stem- and- Leaf and Box plots. Student will be able to study  limit, Continuity & differentiability of function Lecture should be effective so that student will be able to grasp the topics easily Assignment/  seminar/       Class tests/  Presentation 14 2 Measures of Central Tendency and Location: Mean, median, mode, geometric mean, harmonic mean, partition values. Measures of Dispersion: Absolute and relative measures of range, quartile deviation, mean deviation, Standard deviation coefficient of variation. Measures of Central Tendency and Location: Mean, median, mode, geometric mean, harmonic mean, partition values. Measures of Dispersion: Absolute and relative measures of range, quartile deviation, mean deviation, Standard deviation Student will be able to study of Asymptotes, Curvature and Points of infixion Lecture should be effective so that student will be able to grasp the topics easily Assignment/  seminar/       Class tests/  Presentation 15 3 Moments, Skewness and Kurtosis: Moments about mean and about any point and derivation of their relationships, effect of change of origin and scale on moments, Sheppard’s correction for moments (without derivation), Charlier’s checks, Concepts of Skewness and Kurtosis. Student will be able to trace the curves & study Reduction formulae , Rectification Lecture should be effective so that student will be able to grasp the topics easily Assignment/  seminar/       Class tests/  Presentation 8 4 Theory of Attributes: Symbolic notation, dichotomy of data, class frequencies, order of class frequencies, consistency of data, independence and association of attributes, Yule’s coefficient of association and coefficient of colligation. Correlation for Bivariate Data: Concept and types of correlation, Scatter diagram, Karl Pearson Coefficient (r) of correlation and rank correlation coefficient. Student will be able to find the area and Volumes  of curves Lecture should be effective so that student will be able to grasp the topics easily Assignment/  seminar/       Class tests/  Presentation 8
• Books  Recommended:
• 1 Goon, A.M., Gupta, M.K., and B. Das Gupta: Fundamentals of Statistics, Vol-I.
• S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand & Sons, 2002.
• Bernstein, S. & Bernstein, R. : Elements of Statistics, Schaum’s outline series, McGraw-Hill.
• Robert V. Hogg, Joseph W. McKean and Allen T. Craig, Introduction to Mathematical Statistics, Pearson Education, Asia, 2007.
• Irwin Miller and Marylees Miller, John E. Freund, Mathematical Statistics with Applications, 7th Ed., Pearson Education, Asia, 2006.

• Sheldon Ross, Introduction to Probability Models, 9th Ed., Academic Press, Indian Reprint, 2007.
• Alexander M. Mood, Franklin A. Graybill and Duane C. Boes, Introduction to the Theory of Statistics, 3rd Ed., Tata McGraw- Hill, Reprint 2007