Unit 1:
Data Representations and Analysis
Collection, Classification and Tabulation of data, Bar diagrams and Pie diagrams, Histogram, Frequency curve and frequency polygon, Ogives.
Unit 2:
Measures of Central Tendency and Dispersion
Correlation and Regression analysis: Correlations and regressions-: Relation between two variables, scatter diagram, definition of correlations, two regression lines, Karl Pearson’s coefficient of correlation, Rank correlation, Tied ranks.
Unit 3:
Statistical Averages
Mean, median, mode, Standard deviation, curve fitting, principles of least squares,
Unit 4:
Probability
Probability theory: Random experiments, sample space, probability theory, conditional probability. Baye’s theorem.
Unit 5:
Random variable
Random variable,(.discrete and continuous), Probability density function(discrete and continuous), Distribution function for discrete random variable. Distribution function for continuous random variable, Joint probability distribution, Conditional and marginal distribution. Mathematical expectations: Introduction, the expected value of random variable, moments, Moment generating functions, Product moments, Conditional expectations. Standard distributions -: Uniform distribution. (Discrete and continuous). Exponential distribution, Gamma distribution, Beta distribution. Binomial distribution, Poisson distribution, Normal distributions. Standard normal distributions.