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GATE STIISc Bengaluru and the seven older IITs, for NCB-GATE

Start GATE Statistics preparation free Like it? Continue at just ₹29/month — less than ₹1 a day

General Aptitude, mathematics and every Statistics section, in 25 chapters.

First chapter + 1 full mock test free — no card needed

Start freeRead the free chapter
  • 25chapters
  • 65question full mock
  • 10syllabus sections
  • EN + हिंevery chapter in both

Exam pattern

GATE ST paper pattern

GATE Statistics

  • 65 questions
  • 100 marks
  • 180 minutes
  • a wrong MCQ costs a third of its marks, a wrong MSQ or NAT nothing
  • General Aptitude — 15 marks10 Qs
  • Statistics — 85 marks55 Qs

What you get

Everything for GATE ST, in one course

  • Chapters in English and Hindi25 chapters on the official syllabus, each ending in a quiz that explains every answer.
  • Mock tests in the real patternTimed and marked the way the exam is, negative marking included, with a section-by-section report.
  • Revision and weak-area analyticsSee which topics cost you marks, and revise them on a spaced schedule.
  • AI mentorPremiumAsk a doubt in English or Hindi, any hour, and get a plain answer.

Try it now

Try a real GATE ST question

A real question from the course. No sign-up needed.

From the chapter: Probability: Axioms, Conditioning and Bayes, Random Variables, Moments and Generating Functions, Transformations and Inequalities

X has distribution function F(x) = 0 for x < 0, x/2 for 0 ≤ x < 1, and 1 for x ≥ 1. P(X = 1) is:

Show the answer and why

Answer: A.

P(X = 1) = F(1) − F(1−) = 1 − 1/2 = 1/2: a mixed distribution, uniform with density 1/2 on [0, 1) and an atom of mass 1/2 at 1. Answering 0 applies the continuous-variable rule "points have probability zero" to a CDF that jumps.

Syllabus

GATE ST syllabus, section by section

Open a section to see its chapters. General Aptitude’s first chapter is free.

General AptitudeFree chapter3 chapters
  1. Verbal Aptitude — Grammar, Usage, Vocabulary and ComprehensionFree
  2. Quantitative Aptitude — Ratios, Powers, Mensuration, Statistics and Data
  3. Analytical Aptitude — Number Relations, Analogy, Deduction and Induction
Mathematics9 chapters
  1. Limits, Continuity and Differentiability
  2. Differentiation and Applications of Derivatives
  3. Integration and Definite Integrals
  4. Multivariable Calculus — Partial Derivatives, Maxima and Multiple Integrals
  5. Real Analysis for Statistics: Countable Sets, Sequences, Series, Power Series, Continuity, Mean Value Theorems and Riemann Integration
  6. Functions of Several Variables: Limits, Directional Derivatives, Taylor’s Theorem, Extrema, Lagrange Multipliers and Multiple Integrals
  7. Linear Algebra — Rank, Consistency, Eigenvalues and Eigenvectors
  8. Vector Spaces, Rank–Nullity, Decompositions and Quadratic Forms
  9. Matrix Theory: Subspaces, Rank, Inner Products and Gram–Schmidt, Special Matrices, Similarity, Definiteness and the Singular Value Decomposition
Probability (ST paper)1 chapter
  1. Probability: Axioms, Conditioning and Bayes, Random Variables, Moments and Generating Functions, Transformations and Inequalities
Standard Univariate Distributions (ST paper)1 chapter
  1. Standard Univariate Distributions: Bernoulli to Poisson, Uniform to Cauchy, and How They Are Related
Joint Distributions (ST paper)2 chapters
  1. Joint Distributions I: Joint, Marginal and Conditional Distributions, Conditional Expectation, Correlation, the Multinomial and the Bivariate Normal
  2. Joint Distributions II: Functions of Random Vectors, Order Statistics, and the Chi-square, t and F Sampling Distributions
Convergence of Random Variables (ST paper)1 chapter
  1. Convergence of Random Variables: The Four Modes and Their Relations, Slutsky, Borel–Cantelli, the Laws of Large Numbers and the Central Limit Theorem
Stochastic Processes (ST paper)1 chapter
  1. Stochastic Processes: Markov Chains, Classification of States, Stationary Distributions, the Poisson Process, Birth-and-Death Processes and Brownian Motion
Estimation (ST paper)2 chapters
  1. Estimation I: Sufficiency, Minimal Sufficiency, Completeness, Ancillarity and Basu, Unbiased Estimation, UMVUE and the Cramér–Rao Inequality
  2. Estimation II: Consistency, the Method of Moments, Maximum Likelihood and Its Properties, and Confidence Intervals from Pivots
Testing of Hypotheses (ST paper)2 chapters
  1. Testing of Hypotheses I: Size, Power and p-values, the Neyman–Pearson Lemma, Monotone Likelihood Ratio and Uniformly Most Powerful Tests
  2. Testing of Hypotheses II: Unbiased and UMPU Tests, Exponential Families, Likelihood Ratio Tests and Large-Sample Tests
Non-parametric Statistics (ST paper)1 chapter
  1. Non-parametric Statistics: The Empirical Distribution Function, Goodness of Fit, Runs, Sign and Signed-Rank Tests, Mann–Whitney, Kruskal–Wallis and Rank Correlation
Multivariate Analysis (ST paper)1 chapter
  1. Multivariate Analysis: The Multivariate Normal, Its Marginals and Conditionals, MLE of the Mean Vector and Dispersion Matrix, Wishart, Hotelling’s T² and Multiple and Partial Correlation
Regression Analysis (ST paper)1 chapter
  1. Regression Analysis: Simple and Multiple Linear Regression, R² and Adjusted R², Quadratic Forms and Fisher–Cochran, Gauss–Markov, Tests and Confidence Intervals

Price

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  • Basic₹29/monthless than ₹1 a day · every GATE chapter, mocks and PYQs
  • Free₹0first chapter + 1 full mock, no card
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FAQ

Frequently asked questions

What does the GATE Statistics course cost?

The first chapter of the GATE course is free. Every chapter of this paper, in English and Hindi, unlocks with the GATE plan — ₹29 a month, less than ₹1 a day, cancel anytime — with scored practice and the full-length ST mock test in the real 65-question pattern. Premium adds the AI mentor.

How much of the GATE ST syllabus is covered?

The whole paper: 9 mathematics chapters as this paper's syllabus words them, and 13 chapters across all 10 discipline sections. General Aptitude is shared by every paper.

What is the GATE exam pattern?

65 questions for 100 marks in 180 minutes: General Aptitude for 15 marks and the paper for 85. A wrong MCQ costs a third of its marks; MSQ and NAT questions carry no negative marking.

Related

Other GATE papers

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Official sources

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