
Advanced Diploma in Statistics Syllabus Fundamentals of Statistics: Definition and Scope of Statistics , Types of Data (Qualitative and Quantitative) , Data Collection Methods , Measures of Central Tendency (Mean, Median, Mode) , Measures of Dispersion (Variance, Standard Deviation) , Frequency Distributions and Graphical Representations , Skewness and Kurtosis , Probability Basics and Random Variables , Sampling Techniques and Errors , Applications of Statistics in Various Fields. Probability Theory and Distributions: Concept of Probability and Axioms , Conditional Probability and Bayes’ Theorem , Random Variables (Discrete and Continuous) , Probability Distributions (Binomial, Poisson, Normal) , Expectation and Moments , Moment Generating Functions , Law of Large Numbers and Central Limit Theorem , Joint and Marginal Distributions , Transformation of Variables , Applications of Probability in Real-world Scenarios. Statistical Inference and Estimation: Concept of Estimation , Point and Interval Estimation , Properties of Estimators (Unbiasedness, Consistency, Efficiency) , Maximum Likelihood Estimation (MLE) , Confidence Intervals for Mean, Variance, and Proportions , Sampling Distributions (t, Chi-square, F-distribution) , Central Limit Theorem and its Applications , Bootstrapping Methods , Bayesian Inference , Hypothesis Testing Fundamentals. Hypothesis Testing and Decision Theory: Null and Alternative Hypotheses , Type I and Type II Errors , One-sample
Updated July 15, 2026
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