UPSC Mains Optional
Statistics Optional test series
26 tests (12 sectional + 14 full-length), each evaluated by experts within 2 hours, with model answers written around your own style.
₹9,999for all 26 tests
26tests
2 hoursevaluation
1500+question bank
330+target score
Choose your plan
Everything is delivered and submitted on WhatsApp. Evaluated reports and analytics appear on your dashboard.
Test series
Statistics test series
12 sectional + 14 full-length tests
₹9,999
- Expert evaluation within 2 hours
- Model answers built on your writing style
- Your score vs UPSC weightage graphs
- 12 years of topic and subtopic analytics
- Personalise your test dates after joining
Daily practice
One test a day (3 questions), on the days you choose
₹6,000 6 months
- Plan your topic priority and test dates
- Same-day evaluation and feedback
- Model solutions for every test
- Delivered and submitted on WhatsApp
Topic-wise PYQs
Last 10 years, organised by topic
₹250
- Average yearly weightage per topic
- UPSC focus areas highlighted
- Quick reference for revision
PYQ solutions
2014-2024 model solutions, topic-wise
₹1,250
- Detailed, easy-to-follow solutions
- Learn how strong answers are structured
- Built to lift your score toward 330+
Test schedule
12 sectional tests followed by 14 full-length mocks.
| Test | Type | Topic | Date |
|---|---|---|---|
| 1 | Sectional – Paper I | Probability Theory and Distributions | 10-Oct |
| 2 | Sectional – Paper I | Multivariate and Sampling Distributions | 04-Oct |
| 3 | Sectional – Paper I | Stochastic Processes and Limit Theorems | 17-Oct |
| 4 | Sectional – Paper I | Statistical Inference | 11-Oct |
| 5 | Sectional – Paper I | Linear Inference and Regression | 24-Oct |
| 6 | Sectional – Paper I | Multivariate and Nonparametric Methods | 18-Oct |
| 7 | Sectional – Paper II | Design of Experiments | 31-Oct |
| 8 | Sectional – Paper II | Sampling Theory | 25-Oct |
| 9 | Sectional – Paper II | Industrial Statistics | 07-Nov |
| 10 | Sectional – Paper II | Demography and Official Statistics | 01-Nov |
| 11 | Sectional – Paper II | Economics and Time Series | 14-Nov |
| 12 | Sectional – Paper II | Operations Research and Programming | 08-Nov |
| 13 | Full-Length Test | Paper I – Full Syllabus | 21-Nov |
| 14 | Full-Length Test | Paper II – Full Syllabus | 15-Nov |
| 15 | Full-Length Test | Paper I – Full Syllabus | 28-Nov |
| 16 | Full-Length Test | Paper II – Full Syllabus | 22-Nov |
| 17 | Full-Length Test | Paper I – Full Syllabus | 05-Dec |
| 18 | Full-Length Test | Paper II – Full Syllabus | 29-Nov |
| 19 | Full-Length Test | Paper I – Full Syllabus | 12-Dec |
| 20 | Full-Length Test | Paper II – Full Syllabus | 06-Dec |
| 21 | Full-Length Test | Paper I – Full Syllabus | 19-Dec |
| 22 | Full-Length Test | Paper II – Full Syllabus | 13-Dec |
| 23 | Full-Length Test | Paper I – Full Syllabus | 26-Dec |
| 24 | Full-Length Test | Paper II – Full Syllabus | 20-Dec |
| 25 | Full-Length Test | Paper I – Full Syllabus | 02-Jan |
| 26 | Full-Length Test | Paper II – Full Syllabus | 27-Dec |
Dates don't suit you? You can personalise your test schedule after joining.
Statistics Optional syllabus
The UPSC syllabus this test series covers, topic by topic.
Statistics - Paper I
- Probability Theory and Distributions
- Probability – classical, relative frequency and axiomatic approaches, addition and multiplication theorems; Discrete and continuous sample spaces, independence, conditional probability, Bayes’ theorem; Random variables – probability distributions, expectation and moments; Standard distributions – Binomial, Poisson, Normal, Uniform, Exponential, Gamma.
- Multivariate and Sampling Distributions
- Multivariate normal distribution, marginal and conditional distributions; Sampling distributions – Chi-square, t, F distributions; Central limit theorem, convergence concepts – in probability, in distribution; Order statistics, functions of random variables.
- Stochastic Processes and Limit Theorems
- Markov chains with finite and countable state space; Classification of states, limiting behavior; Poisson process and its properties; Weak and strong laws of large numbers, Central Limit Theorem.
- Statistical Inference
- Sufficiency, completeness and unbiasedness; Cramer-Rao inequality, methods of estimation – moments, maximum likelihood, least squares; Testing of hypotheses – Neyman-Pearson lemma, most powerful tests; Confidence intervals, uniformly most powerful and unbiased tests.
- Linear Inference and Regression
- Linear models and least square estimators; Gauss-Markov theorem, ANOVA – one-way and two-way; Regression models – simple and multiple; Multicollinearity, autocorrelation, heteroscedasticity.
- Multivariate and Nonparametric Methods
- Multivariate analysis – Hotelling’s T², discriminant analysis, principal components; Non-parametric tests – sign test, Wilcoxon, Kolmogorov-Smirnov, run test; Rank correlation, contingency tables.
Statistics - Paper II
- Design of Experiments
- Principles of design – randomization, replication, local control; CRD, RBD, LSD, factorial designs (2^n); Confounding and interaction; Analysis of covariance.
- Sampling Theory
- Census vs sample survey, basic sampling methods – SRS, stratified, systematic; Ratio and regression estimators; Multistage and cluster sampling; Sampling and non-sampling errors.
- Industrial Statistics
- Process control – control charts for variables and attributes; Acceptance sampling plans – OC curve, producer and consumer risk; Reliability analysis – hazard function, system reliability; Quality control using six sigma.
- Demography and Official Statistics
- Vital statistics, measures of fertility, mortality; Life tables, population projections; Official statistical systems in India – CSO, NSSO; National income, inflation, price indices.
- Economics and Time Series
- Index numbers – construction, tests, time and factor reversal; Time series analysis – trend, seasonal, cyclic and irregular components; ARIMA models, exponential smoothing; Forecasting techniques.
- Operations Research and Programming
- Linear programming – simplex method, duality; Transportation and assignment problems; Inventory models, queuing theory; Game theory – two-person zero-sum, pure and mixed strategies.
Free 2014 PYQ solutions
Expert-solved previous year questions. Read them free to see our answer quality.
Want every year? Get topic-wise solutions for 2014-2024.
UPSC weightage analytics
Where UPSC has awarded marks, topic by topic. Focus on what scores, and compare your test results once you join.
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