BCA Probability & Statistics

Meaning, Scope and Limitations of Statistics, Types and Sources of Data, Methods and Problems of Collection of Primary and Secondary Data

Measure of Central Tendency (Arithmetic Mean, Median, Partition Values, Mode), Measure of Dispersion (Absolute and Relative Measures: Range, Quartile Deviation, Mean Deviation, Standard Deviation, and Coefficient of Variation)

Correlation: Definition, Scatter diagram, Karl Pearson's coefficient of correlation, Numerical problems for determination of Correlation Coefficients, Regression: Definition, Dependent and Independent Variables, Least Square method only, Numerical Problems

Definition of Probability, Two basic Laws of Probability (without proof), Conditional Probability, Probability Distributions (Binomial, Poisson and Normal), simple numerical problems

Concept of Population and Sample, Needs of Sampling, Censuses and Sample Survey, Basic Concept of Sampling, Organizational Aspect of Sample Survey, Questionnaire Design, Sample Selection and Determination of Sample Size, Sampling and Non Sampling Errors

Types of Sampling, Simple Random Sampling with and without Replacement, Stratified Random Sampling, Ratio and Regression Method of Estimation under Simple and Stratified Random Sampling, Systematic Sampling, Cluster Sampling, Multistage Sampling, Probability Proportion to Size Sampling (PPS), Estimation of Population Total and its Variance, Sampling Distributions (t, x², z) and Related Problems

Concept of Analysis of Variance (ANOVA), F -Statistic and its Distribution, Linear Model in ANOVA, Analysis of One Way, Two Way Classification (1 and m observations per cell) in Fixed Effect Model