This paper is designed to acquaint the students with the fundamental statistical techniques. To understand the role of statistics for analyzing and interpreting data meaningfully.
Definition, scope, and limitations of statistics, Concept of statistical population. Types of data- Primary and Secondary data, Univariate and Bivariate data. Census and Sample Survey and their advantages and disadvantages.
Qualitative and Quantitative classification, discrete and continuous classification, Geographical and Chronological classification. Construction of frequency tables, frequency distribution for continuous and discrete data, cumulative frequency distributions (inclusive and exclusive methods. Graphical presentation of data: Histogram, Frequency Polygon, Frequency curve and Ogives
Measures of Central Tendency – Definition, different measures of Central Tendency, merits and demerits. Measure of Dispersion- Definition, different measures of Dispersion, merits and demerits. Coefficient of variation. Relative dispersions
Central moments and Non-central moments and their computation from data. Absolute and Factorial moments. Concept of Quartiles. Measure of Skewness and Kurtosis, Sheppard’s, Correction for moments (without proof)
Random Experiment, Trial, Events and their types. Classical, Statistical and Axiomatic definition of probability and its properties (simple). Addition and Multiplication theorems of Probability and their application, Conditional Probability and Independent events. Baye’s theorem and its application (simple questions).
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