CUET PG Statistics Syllabus 2027: Check Topic-wise Syllabus

Calculus

Sequences and series (convergence, comparison, root, and ratio tests); Differential calculus (limits, continuity, differentiability, Taylor's theorem, maxima/minima); Integral calculus (fundamental theorems, double/triple integrals, arc lengths, areas, and volumes).

Algebra

Matrices (rank, inverse, systems of linear equations, eigenvalues/eigenvectors, Cayley-Hamilton theorem, symmetric/skew-symmetric matrices).

Differential Equations

Ordinary differential equations of the first order of the form y' = f(x,y). Linear differential equations of the second order with constant coefficients.

Probability & Descriptive Statistics

Measures of central tendency, dispersion, skewness, and kurtosis; Axiomatic definition of probability, conditional probability, Bayes' Theorem, and independent events.

Random Variables

Probability mass functions (pmf) and density functions (pdf); Cumulative distribution functions; Mathematical expectation, moments, MGFs, and Chebyshev’s inequality.

Standard Distributions

Binomial, Poisson, Geometric, Uniform, Exponential, Gamma, Beta, and Normal distributions; Chi-square, t, and F-distributions.

Joint Distributions

Marginal and conditional distributions; Correlation and simple linear regression; Independence of random variables; Weak Law of Large Numbers and Central Limit Theorem.

Statistical Inference

Estimation (Unbiasedness, consistency, efficiency, MLE); Sufficiency, Factorization theorem, Rao-Blackwell theorem; Testing of Hypotheses (Neyman-Pearson Lemma, Likelihood ratio tests).

Sampling & Design of Experiments

Simple random sampling, stratified sampling and Cluster sampling, One-way, two-way analysis of variance. CRD, RBD, LSD and 2² and 2³ factorial experiments.

Particulars

Details

Types of questions

MCQs

Total number of questions

75

Maximum marks

300

Marking scheme

• Four marks will be given for each correct response.

• One mark will be deducted for each incorrect response.

• No negative marking for unattempted questions.

Exam mode

Computer-based mode

Duration

1 hour and 30 minutes (90 Minutes)