Title: Descriptive Statistics (Code-09050105)
B.Sc. (Hons), Semester-I
S. No. |
Topic |
Domain |
Hours as per UGC |
1 |
Introduction of Statistics, Basic knowledge of various types of data, Collection, classification and tabulation of data. |
Must know |
6 |
Presentation of data: histograms, frequency polygon, frequency curve and ogives. Stem- and- Leaf and Box plots. |
Must know |
||
2 |
Measures of Central Tendency and Location: Mean, median, mode, geometric mean, harmonic mean, partition values. |
Must know |
18 |
Measures of Dispersion: Absolute and relative measures of range, quartile deviation, mean deviation, Standard deviation ( ), coefficient of variation. |
Must know |
||
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, |
Must know |
10 |
Concepts of Skewness and Kurtosis. |
Nice to know |
||
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. |
Must know |
11 |
Correlation for Bivariate Data: Concept and types of correlation, Scatter diagram, Karl Pearson Coefficient (r) of correlation and rank correlation coefficient. |
Nice to know |
- 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.