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GATE 2025 Statistics Syllabus: IIT Roorkee released the GATE Statistics syllabus 2025 on the official website gate2025.iitr.ac.in. Candidates can access the GATE Statistics 2025 syllabus pdf on this page. The authorities released the GATE syllabus to provide candidates with the complete list of topics that must be prepared for the Graduate Aptitude Test in Engineering. The GATE statistics syllabus comprises 10 chapters. Candidates must refer to the GATE 2025 ST syllabus and paper pattern to plan their preparation strategy. Moreover, the GATE Statistics question paper is based on topics mentioned in the syllabus. The GATE 2025 exam is being held on February 1, 2, 15 & 16, 2025. Read the complete article to know more about the GATE 2025 syllabus for statistics.
Direct link to download the GATE 2025 ST syllabus
The Indian Institute of Technology Roorkee released the syllabus for GATE ST 2025 online. The GATE 2025 syllabus includes topics such as Calculus, Matrix Theory, Probability, Standard discrete and continuous univariate distributions, Stochastic Processes, Estimation, Testing of Hypotheses, Non-parametric Statistics, Multivariate Analysis, Regression Analysis and more. Candidates can follow the syllabus to prepare for the entrance test.
Related Articles:
Topics | Sub Topics |
Calculus | Finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, Sequences of real numbers, convergence of sequences, bounded sequences, monotonic sequences, Cauchy criterion for convergence, Series of real numbers, convergence, tests of convergence, alternating series, absolute and conditional convergence, Power series and radius of convergence, Functions of a real variable: Limit, continuity, monotone functions, uniform continuity, differentiability, Rolle’s theorem, mean value theorems, Taylor’s theorem, L’ Hospital rules, maxima and minima, Riemann integration and its properties, improper integrals, Functions of several real variables: Limit, continuity, partial derivatives, directional derivatives, gradient, Taylor’s theorem, total derivative, maxima and minima, saddle point, method of Lagrange multipliers, double and triple integrals and their applications. |
Matrix Theory | Subspaces of span, linear independence, basis and dimension, row space and column space of a matrix, rank and nullity, row reduced echelon form, trace and determinant, inverse of a matrix, systems of linear equations; Inner products in and, Gram-Schmidt orthonormalization, Eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal, unitary matrices and their eigenvalues, change of basis matrix, equivalence and similarity, diagonalizability, positive definite and positive semi-definite matrices and their properties, quadratic forms, singular value decomposition. |
Probability | Axiomatic definition of probability, properties of probability function, conditional probability, Bayes’ theorem, independence of events, Random variables and their distributions, distribution function, probability mass function, probability density function and their properties, expectation, moments and moment generating function, quantiles, distribution of functions of a random variable, Chebyshev, Markov and Jensen inequalities. |
Standard discrete and continuous univariate distributions | Bernoulli, binomial, geometric, negative binomial, hypergeometric, discrete uniform, Poisson, continuous uniform, exponential, gamma, beta, Weibull, normal. Jointly distributed random variables and their distribution functions, probability mass function, probability density function and their properties, marginal and conditional distributions, conditional expectation and moments, product moments, simple correlation coefficient, joint moment generating function, independence of random variables, functions of random vector and their distributions, distributions of order statistics, joint and marginal distributions of order statistics, Multinomial distribution, bivariate normal distribution, sampling distributions: central, chi-square, central t, and central F distributions. Convergence in distribution, convergence in probability, convergence almost surely, convergence in r-th mean and their inter-relations, Slutsky’s lemma, Borel-Cantelli lemma, Weak and strong laws of large numbers; central limit theorem for i.i.d. random variables, delta method. |
Stochastic Processes | Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step transition probabilities, stationary distribution, Poisson process, birth and death process, pure-birth process, pure-death process, Brownian motion and its basic properties. |
Estimation | Sufficiency, minimal sufficiency, factorization theorem, completeness, completeness of exponential families, ancillary statistic, Basu’s theorem and its applications, unbiased estimation, uniformly minimum variance unbiased estimation, Rao-Blackwell theorem, Lehmann-Scheffe theorem, Cramer-Rao inequality, consistent estimators, method of moments estimators, method of maximum likelihood estimators and their properties Interval estimation: pivotal quantities and confidence intervals based on them, coverage probability. |
Testing of Hypotheses | Neyman-Pearson lemma, most powerful tests, monotone likelihood ratio (MLR) property, uniformly most powerful tests, uniformly most powerful tests for families having MLR property, uniformly most powerful unbiased tests, uniformly most powerful unbiased tests for exponential families, likelihood ratio tests, large sample tests. |
Non-parametric Statistics | Empirical distribution function and its properties, goodness of fit tests, chisquare test, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, Mann-Whitney U-test, rank correlation coefficients of Spearman and Kendall. |
Multivariate Analysis | Multivariate normal distribution: properties, conditional and marginal distributions, maximum likelihood estimation of mean vector and dispersion matrix, Hotelling’s T2 test, Wishart distribution and its basic properties, multiple and partial correlation coefficients and their basic properties. |
Regression Analysis | Simple and multiple linear regression, R2 and adjusted R2 and their applications, distributions of quadratic forms of random vectors: Fisher-Cochran theorem, GaussMarkov theorem, tests for regression coefficients, confidence intervals. |
GATE books are the best resources for the preparation of entrance tests. Candidates must be aware of the GATE Statistics syllabus to select the best book for GATE 2025 ST. Below is the list of the best books for GATE 2025 Statistics.
Book Name | Author Name |
The Foundations of Statistics | Leonard J. Savage |
Probability and Statistics | Murray R Spiegel, John J Schiller, and R Alu Srinivasan |
Miller and Freund’s Probability and Statistics For Engineers | Pearson |
GATE Statistics Practice Question Bank with Topic wise | Rajendra Dubey and Dr. Puneet Pasricha |
Matrix Theory | Joel Nick Franklin |
Also Read:
Being aware of the GATE statistics syllabus with topic-wise weightage helps to secure a good rank in the exam. Knowing the syllabus weightage, candidates can prioritize the topics and manage their preparation strategy. While the topics with high weightage should be given priority, candidates must not neglect the remaining topics. GATE Statistics syllabus with topic weightage GATE exam analysis. Check the table for the GATE ST syllabus with topics-wise weightage.
Topics | Weightage |
Probability | 20% |
Calculus | 15% |
Multivariate Analysis | 10% |
Matrix Theory | 8% |
Stochastic Processes | 8% |
Estimation | 8% |
Testing of Hypotheses | 8% |
Regression Analysis | 8% |
There are a few topics that hold more weight as compared to other topics. So, here we have given the list of important topics of the GATE Statistics 2025 syllabus. The GATE Statistics syllabus important topics 2025 has more questions in the exam. Check the list of GATE Statistics syllabus 2025 important topics here.
S.No. | Calculus |
1. | Probability |
2. | Regression Analysis |
3. | Linear Equations |
4. | Estimation |
Aspirants can practice the GATE Statistics sample paper 2025 for quick revision and self-assessment. The questions in the sample paper of GATE ST are based on the exam syllabus. Candidates get familiar with the exam difficulty level by solving the GATE 2025 statistics sample paper. Here we have provided the previous year GATE Statistics sample paper.
GATE ST year-wise Sample Paper | GATE ST sample paper link |
IIT Roorkee activated the GATE Statistics 2025 mock test link on the official website. No login credentials are required to attempt the GATE mock test for Statistics. The mock test is a replica of the actual exam. The questions in the GATE Statistics mock test 2025 are based on the syllabus of GATE 2025. Hence, candidates should attempt this without fail.
Candidates appearing for the exam can check the GATE previous year's cutoff on this page. Knowing the cutoff of GATE Statistics helps students have a rough idea of what marks are required to clear the exam.
GATE Subject | Qualifying Marks | Qualifying Score | ||||
Statistics (ST) | GEN | EWS/OBC | SC/ST/PwD | GEN | EWS/OBC | SC/ST/PwD |
25 | 22.5 | 16.6 | 350 | 268 | 57 |
The GATE 2025 syllabus includes topics such as Calculus, Matrix Theory, Probability, Standard discrete and continuous univariate distributions, Stochastic Processes, Estimation, Testing of Hypotheses, Non-parametric Statistics, Multivariate Analysis, Regression Analysis and more.
Start your preparation the moment you decide to get admission in an IIT or get a job at any PSU. As this exam is a gateway for your choices. So, start your preparation as early as possible.
Yes, the GATE 2025 Syllabus has been released on the official website.
IIT Roorkee released the mock test of GATE 2025 for Statistics on the official website.
IIT Roorkee announced the GATE branch-wise dates 2025 is available online,
GATE ST 2025 exam date is February 16, 2025.
Hello Ansh,
Whether you can get admission in the Computer Science (CS) or Electronics and Communication Engineering (ECE) branch depends on several key factors:
Entrance Exam Rank/Score : Your performance in entrance exams like JEE Mains, JEE Advanced, state-level exams (like KCET, AP EAMCET, TS EAMCET), or university-specific exams plays a major role. A high rank increases your chances for CS or ECE.
Category and Reservation : SC, ST, OBC, EWS, or other reserved categories may have lower cut-off ranks for CS and ECE branches.
College Preference : Top colleges like IITs, NITs, IIITs, and top private universities have higher cut-offs for CS and ECE. Mid-tier or private colleges may offer more flexibility with lower ranks.
State Quota vs. All India Quota : Home state students often have a better chance under the state quota.
Gender-Based Quotas : Some institutions offer female-only seats or relaxed cut-offs for girls.
If you mention your entrance exam name, rank or percentile, category, and state, I can give a more specific answer.
I hope this answer helps you. If you have more queries, feel free to share your questions with us, and we will be happy to assist you.
Thank you, and I wish you all the best in your bright future.
Hello there,
Yes, you can get admission to M.Tech at CBIT without a GATE score by qualifying through TSPGECET.
You must have a B.Tech or equivalent degree in a related field.
If you have a valid TSPGECET rank, you can apply under the regular counseling process (Category A).
If you do not have a TSPGECET rank, you may apply under Category B (management quota), where admission is based on your qualifying degree marks and seat availability.
M.Tech specializations at CBIT include Computer Science Engineering, Computer Networks and Information Security, Artificial Intelligence and Data Science, and Information Technology.
Cutoff ranks for TSPGECET vary every year depending on competition and seats.
Category B admissions do not have a fixed cutoff; selection depends on merit and seat availability.
For exact cutoffs and seat details, you need to check with CBIT or the Telangana State Council of Higher Education during the admission process.
I hope this answer helps you. If you have more queries, feel free to share your questions with us, and we will be happy to assist you.
Thank you, and I wish you all the best in your bright future.
GATE BT (Biotechnology) score of 350, you have a good chance of securing admission to Delhi Technological University (DTU) for M.Tech in Biotechnology or related programs.
Eligibility Criteria:
You must have a valid GATE score in Biotechnology (BT) or a related discipline.
A minimum of 60% (or equivalent CGPA) in your B.Tech/B.E (Biotech or related field) from a recognized university.
Cutoff Trends :
DTU's cutoff for GATE BT usually ranges between 300-400 (varies yearly based on competition.
Unfortunately, you've missed the GATE 2025 exam registration deadline, which was initially September 20, 2024, and later extended to October 3, 2024, for regular registration, with a late fee option available until October 7, 2024. Since the exam dates are already scheduled for February 1, 2, 15, and 16, 2025, you won't be able to apply for this year's exam.
However, here are some potential options to consider:
- Prepare for GATE 2026: You can start preparing for the next year's exam, ensuring you meet the eligibility criteria and stay updated on the application process.
- Explore other exams: Look into other entrance exams for postgraduate programs, such as those offered by individual universities or institutions.
- Check eligibility for other programs: If you're interested in pursuing a postgraduate degree, research other programs that don't require GATE scores.
To better prepare for future exams, focus on
- Understanding the syllabus: Familiarize yourself with the exam pattern, syllabus, and marking scheme.
- Creating a study plan: Develop a structured study schedule, covering all relevant topics.
- Practicing with mock tests: Regularly take practice tests to assess your knowledge and identify areas for improvement.
Keep in mind that GATE scores are valid for three years, so if you plan to take the exam in 2026, your score will be valid until 2029.
Hello there,
With a GATE Electrical Engineering (EE) score of 630, getting admission to the M.Tech program in Instrumentation and Integrated Electronics at IIT Kharagpur is unlikely.
Key points:
The closing GATE score for this program in 2024 was around 608 for the general category.
For reserved categories, cutoffs are lower (OBC around 573, SC around 337, ST around 248).
Admission depends on GATE score and sometimes an interview.
Recommendations:
You can consider applying to other IITs or NITs where your score may meet the cutoff for similar courses.
Explore other reputed institutes offering M.Tech in Instrumentation and Electronics.
If this field is important for you, consider preparing to improve your GATE score for the next attempt.
I hope this answer helps you. If you have more queries, feel free to share your questions with us, and we will be happy to assist you.
Thank you, and I wish you all the best in your bright future.
A flight attendant ensures passenger safety and comfort during flights. Key duties include conducting safety checks, assisting passengers, serving food and drinks, and managing emergencies. They must be well-trained in safety procedures and customer service. A high school diploma is typically required, followed by rigorous training to qualify for the role.
A Flight Engineer monitors and operates an aircraft’s complex systems like engines, fuel, and hydraulics during flight, ensuring optimal performance and safety. They assist pilots with technical issues, conduct inspections, and maintain records. This role requires strong technical knowledge, problem-solving, and communication skills. Training usually involves a degree in aviation or aerospace engineering and specialised certification.
An Aircrew Officer operates and navigates aircraft, ensuring safe flights and compliance with aviation regulations. Key duties include managing flight systems, conducting pre- and post-flight checks, and adhering to safety standards. The role typically requires working five days a week, with around 120 flight hours monthly. Employment may be contractual or permanent, depending on the airline.
An aerospace engineer designs, develops, tests, and maintains aircraft, spacecraft, and related systems. They apply physics and engineering principles to improve aerospace technologies, often working in aviation, defence, or space sectors. Key tasks include designing components, conducting tests, and performing research. A bachelor’s degree is essential, with higher roles requiring advanced study. The role demands analytical skills, technical knowledge, precision, and effective communication.
An air hostess, or flight attendant, ensures passenger safety and comfort during flights. Responsibilities include safety demonstrations, serving meals, managing the cabin, handling emergencies, and post-flight reporting. The role demands strong communication skills, a calm demeanour, and a service-oriented attitude. It offers opportunities to travel and work in the dynamic aviation and hospitality industry.
An aeronautical engineer designs, develops, tests, and maintains aircraft and related systems. They work on components like engines and wings, ensuring performance, safety, and efficiency. The role involves simulations, flight testing, research, and technological innovation to improve fuel efficiency and reduce noise. Aeronautical engineers collaborate with teams in aerospace companies, government agencies, or research institutions, requiring strong skills in physics, mathematics, and engineering principles.
A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.
An airline pilot operates aircraft to transport passengers and cargo safely. Responsibilities include pre-flight planning, in-flight operations, team collaboration, and post-flight duties. Pilots work in varying schedules and environments, often with overnight layovers. The demand for airline pilots is expected to grow, driven by retirements and industry expansion. The role requires specialized training and adaptability.
Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.
A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.
An architect plans and designs buildings, ensuring they are safe, functional, and aesthetically pleasing. They collaborate with clients, engineers, and contractors throughout the construction process. Key skills include creativity, design software proficiency, and knowledge of building codes. In India, a 5-year B.Arch degree and registration with the Council of Architecture are required to practise professionally.
Having a landscape architecture career, you are involved in site analysis, site inventory, land planning, planting design, grading, stormwater management, suitable design, and construction specification. Frederick Law Olmsted, the designer of Central Park in New York introduced the title “landscape architect”. The Australian Institute of Landscape Architects (AILA) proclaims that "Landscape Architects research, plan, design and advise on the stewardship, conservation and sustainability of development of the environment and spaces, both within and beyond the built environment". Therefore, individuals who opt for a career as a landscape architect are those who are educated and experienced in landscape architecture. Students need to pursue various landscape architecture degrees, such as M.Des, M.Plan to become landscape architects. If you have more questions regarding a career as a landscape architect or how to become a landscape architect then you can read the article to get your doubts cleared.
Urban Planning careers revolve around the idea of developing a plan to use the land optimally, without affecting the environment. Urban planning jobs are offered to those candidates who are skilled in making the right use of land to distribute the growing population, to create various communities.
Urban planning careers come with the opportunity to make changes to the existing cities and towns. They identify various community needs and make short and long-term plans accordingly.
An expert in plumbing is aware of building regulations and safety standards and works to make sure these standards are upheld. Testing pipes for leakage using air pressure and other gauges, and also the ability to construct new pipe systems by cutting, fitting, measuring and threading pipes are some of the other more involved aspects of plumbing. Individuals in the plumber career path are self-employed or work for a small business employing less than ten people, though some might find working for larger entities or the government more desirable.
Individuals who opt for a career as construction managers have a senior-level management role offered in construction firms. Responsibilities in the construction management career path are assigning tasks to workers, inspecting their work, and coordinating with other professionals including architects, subcontractors, and building services engineers.
Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems.
Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.
Energy efficiency engineering is a broad field of engineering which deals with energy efficiency, energy services, facility management, plant engineering, and sustainable energy resources. Energy efficiency engineering is one of the most recent engineering disciplines to emerge. The field combines the knowledge and understanding of physics, chemistry, and mathematics, with economic and environmental engineering practices. The main job of individuals who opt for a career as an energy performance engineer is to find the most efficient and sustainable path to operate buildings and manufacturing processes.
Individuals who opt for a career as energy performance engineers apply their understanding and knowledge to increase efficiency and further develop renewable sources of energy. The energy efficiency engineers also examine the use of energy in those procedures and suggest the ways in which systems can be improved.
A geologist attempts to comprehend the historical backdrop of the planet we live on, all the more likely to anticipate the future and clarify current events. He or she analyses the components, deployments, results, physical characteristics, and past of the planet. A geologist examines the landforms and landscapes of the earth in relation to the geology, climatic, and human processes that have shaped them.
A geologist studies earth procedures, for example, seismic tremors, avalanches, floods, and volcanic eruptions to review land and draw up safe structure plans. When he or she researches earth materials, explores metals and minerals, yet in addition search for oil, petroleum gas, water, and strategies to extricate these.
A career as a Petroleum engineer is concerned with activities related to producing petroleum. These products can be in the form of either crude oil or natural gas. Petroleum engineering also requires the exploration and refinement of petroleum resources. Therefore, a career as a petroleum engineer comes up with oil and gas onshore jobs. There are also desk jobs in the petroleum industry. In layman’s terms, a petroleum engineer is a person who finds the best way to drill and extract oil from oil wells. Individuals who opt for a career as petroleum engineer also tries to find new ways to extract oil in an efficient manner.
A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.
A career as a civil engineer is of great importance for the infrastructural growth of the country. It is one of the most popular professions and there is great professional as well as personal growth in this civil engineering career path. There is job satisfaction in this civil engineering career path, but it also comes with a lot of stress, as there are multiple projects that need to be handled and have to be completed on time. Students should pursue physics, chemistry and mathematics in their 10+2 to become civil engineers.
A career as a Transportation Engineer is someone who takes care of people's safety. He or she is responsible for designing, planning and constructing a safe and secure transportation system. The transportation sector has seen a huge transformation and is growing day by day and improving every day.
As a Transport Engineer, he or she needs to solve complex problems such as accidents, costs, traffic flow, and statistics. A Transport Engineer also collaborates for projects with some other companies.
A Loco Pilot operates trains, ensuring safe and timely transport of passengers or goods. Starting as an Assistant Loco Pilot, one can progress to senior roles with experience. The job demands technical knowledge, focus, and adherence to safety protocols. It involves coordination with train staff and may require working long hours under pressure.
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