Kerala HSS Statistics Teacher PSC Question Paper and Answers in PDF Format

• Total Questions: 100
• Total Exam Time : 75 Minutes
• Medium of Exam: Malayalam/ English
• Difficulty Level: Same as the Original PSC Test

Notification Number	Name of the Post	Department
713/2025	Higher Secondary School Teacher (Junior) Statistics	Kerala Higher Secondary Education

Students can download the HSST (Junior) Statistics questions and answers in the PDF format from here.

Click the 'Download HSST Statistics PSC Solved Question Paper' button to download the previous Kerala PSC question paper.

Download HSST Statistics Solved PSC Question Paper

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6	Kerala HSS Chemistry Teacher Exam

Part	Topic Area	Important Syllabus Details
Part I: Statistics (70 Marks)	Probability Theory	Concepts of probability, independence, Bayes theorem; Random variables (discrete/continuous), distribution/density functions, generating functions, expectation, and moments; Convergence modes; Laws of Large Numbers (Weak/Strong) and Central Limit Theorems.
	Statistical Estimation Theory	Point estimation: Sufficiency, factorization, unbiasedness, UMVUE, Rao-Blackwell and Lehmann Scheffe Theorems; Fisher information, Cramer-Rao inequality; Methods of estimation (Moments, MLE, Least Squares); Bayesian and Interval estimation.
	Testing of Hypothesis	Neyman-Pearson lemma, UMP/UMPU tests, likelihood ratio tests; Sequential probability ratio tests (SPRT), Wald's identity; Non-parametric inference (Goodness of fit, Sign, Rank, Median, and Mann-Whitney U-tests).
	Design of Experiments	Basic principles, Gauss Markoff Theorem; CRD, RBD, LSD, BIBD, and Lattice designs; Analysis of co-variance; Factorial Designs (2k), confounding techniques, and fractional factorial designs.
	Sampling Theory	SRS (with/without replacement), stratified, systematic, and cluster sampling; Ratio and regression estimators; PPS sampling, varying probability strategies (Desraj, Horvitz-Thompson, etc.); Multiphase and multistage sampling.
	Distribution Theory	Univariate/bivariate distributions; Discrete (Binomial, Poisson, etc.) and Continuous (Normal, Exponential, Weibull, etc.) distributions; Pearson system; Order Statistics; Sampling distributions (Chi-square, t, and F).
	Multivariate Analysis	Multivariate normal distribution (MND), Wishart distribution; Hotelling's T2 and Mahalanobis D2; Testing equality of covariance matrices; Classification procedures; Principal component, canonical correlation, and factor analysis.
	Stochastic Process	Markov chains, transition probability, Chapman Kolmogorov equations; Random Walk and branching processes; Continuous time Markov Chains, Poisson processes, birth and death processes; Renewal and Brownian motion processes.
	Regression Analysis	Linear models, Gauss Markov setup, ML estimation; Hypothesis testing (F-test); Residual analysis, collinearity, and diagnostics; Polynomial and stepwise regression; Nonlinear, logistic, and Poisson regressions.
	Mathematical Methods for Statistics	Riemann-Stieltjes Integral, Gamma/Beta integrals; Uniform convergence; Multivariable functions (limits, continuity, derivatives); Matrices (determinants, rank, characteristic roots), Cayley-Hamilton theorem, and generalized inverses.
Part II (5 Marks)	Teaching Aptitude	Nature, objectives, and requirements of teaching; Learner characteristics; Factors affecting teaching; Methods of teaching; Teaching aids and evaluation systems.
Part III (5 Marks)	Research Methodology	Meaning, types, and steps of research; Research ethics; Academic communications (articles, workshops, seminars); Thesis writing characteristics and format.
Part IV (10 Marks)	Indian Constitution	Salient features, Preamble, Fundamental Rights/Duties, Directive Principles; Structure of Executive, Legislature, Judiciary; Centre-State relations; Emergency and Amendment provisions; Constitutional authorities (Election Commission, UPSC, etc.).
	Social Welfare Legislations	Right to Information Act, Prevention of atrocities against Women & Children, Food Security Act, Environmental Acts; Employment Guarantee Programme, Organ and Blood Donation.
Part V (10 Marks)	General Knowledge & Renaissance	English education and missionaries; Socio-Religious reform movements (SNDP, NSS, etc.); Struggles (Vaikom, Guruvayoor Sathyagraha); Role of Press and Literature; Women in social change; Key Renaissance Leaders.

Department	Kerala Higher Secondary Education
Name of Post	Higher Secondary School Teacher (Junior) Statistics
Monthly Salary of an HSST Statistics Teacher	45,600 - 95,600/- Indian Rupees
Number of HSST Statistics vacancies	Anticipated Vacancies
Last Date To Apply	04-02-2026
Written Test Date of HSST Statistics
Date Of Downloading Hall Tickets
HSST Statistics PSC Exam Cut-Off Mark
Date Of Publishing Rank List of HSST Statistics

To prepare for the PSC Degree Level Common Preliminary examination, visit this link.

1. Master's Degree in the Statistics with not less than 50% marks from any of the Universities in Kerala or a qualification recognized as equivalent thereto in the respective subject by a University in Kerala

2. (1) B.Ed in the Statistics acquired after a regular course of study from any of the Universities in Kerala or a qualification recognized as equivalent thereto by a University in Kerala.

   (2) In the absence of persons with B.Ed. Degree in the Statistics subject, B.Ed Degree acquired in the concerned faculty as specified in the Acts and Statutes of any of the Universities in Kerala.

   (3) In the absence of persons with B.Ed. Degree as specified in items (1) and (2) above, persons with B.Ed. Degree in any subject acquired after a regular course of study from any of the Universities in Kerala or a qualification recognized as equivalent thereto by any of the Universities in Kerala.

3. Must have passed the State Eligibility Test (SET) for the post of Higher Secondary School Teacher conducted by Government of Kerala or by the agency authorized by the State Government.

The age limit for a general category applicant is 20 to 40. Refer to the table below for the upper age relaxation for OBC and SC/ST applicants.

S.NO.	CATEGORIES	EXTENT OF AGE CONCESSION
1	General Category	0 years
2	OBC	3 years
3	SC/ST	5 years

Students can check the complete list of Kerala PSC Exam Mock Test and Study Materials from this link.

1. https://www.keralapsc.gov.in/sites/default/files/2026-01/noti-712-713-25.pdf
2. https://www.hseportal.kerala.gov.in/hse/public/institutions
3. https://thulasi.psc.kerala.gov.in/thulasi/
4. https://www.keralapsc.gov.in/shortlists
5. https://www.keralapsc.gov.in/sites/default/files/inline-files/8.%20%20HSST%20Statistics_0.pdf