BSc Statistics Syllabus, Subjects, Yearly, UGC, Semester, Colleges, Books, Course

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Sounak Banerjee

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BSc Statistics is a 3 year course that deals with mathematical subjects like statistics, data analysis and modeling, regression, etc. Some top colleges include Statistical software, programming languages, and research projects in BSc Statistics Syllabus. 

BSc Statistics Admission takes place both through merit based and entrance Exams. BSc Statistics has many electives like Algebra, Calculus, Proofs and Problem Solving, Probability Analysis etc. Top BSc Statistics Colleges are University of Calcutta, Lady brebourne, Scottish Church etc. 

See Also: Statistics Courses

BSc Statistics Syllabus equips students to work as Statistician, Market Research Analysts, Technical Writers, Consultant, Biostatistician, Content Analyst, Research Associate, Data Analyst etc Practical subjects of BSc Statistics are Descriptive Statistics and Probability, Inference, Statistical Methods, Sampling Theory and Time Series.  

BSc Statistics Course Details

Course Name Bachelor of Science in Statistics
Course Level Undergraduate
BSc Statistics Duration 3 to 4 years
BSc Statistics Admission Process Merit based/Entrance Exam
BSc Statistics Top Entrance Exam GSAT, BHU UET, DSAT, SUAT
BSc Statistics Eligibility 10 + 2 with Maths as a core subject
BSc Statistics Top Colleges Fergusson College, St. Xavier’s College, Mount Carmel College, Christ University, Ramnarain Ruia Autonomous College, etc
BSc Statistics Average Fees INR 20,000-1,50,000

BSc Statistics Syllabus

Semester I Semester II
Inequalities Differential Calculus
Demoivre’s theorem Review of Differential Equations
Equations theories, Fundamental theorem of algebra and its consequences. Review of Integration and Definite Integrals
Semester III Semester IV
Probability Theory Index Numbers
Statistical Methods Mathematical Finance
Random Variables Utility and Production Functions
Expectation of Random Variable and its Properties Time Series
Measures of Location (or Central Tendency) and Dispersion Demand Analysis
Semester V Semester VI
Stratified Random Sampling Numerical Analysis
Fundamental Theorem of Algebra and its Consequences Inverse Interpolation
Basic Sampling Methods General Linear Models
Sample Surveys Numerical Integration

BSc Statistics Subjects

BSc Statistics Subjects are spread across 6 semesters. Students need to have an idea about the subjects they will be studying in this course. Important subjects of BSc Statistics are mentioned below:

BSc Statistics Syllabus: First Year Subjects  

  • Inequalities: Inequality is a relation, it makes a non-equal comparison between two numbers. Mostly used to compare two numbers on the number line by their size.
  • Differential Calculus: Differential calculus deals with the rate of change of one quantity with respect to another. For example, the rate of change of x with respect to y is expressed as dx/dy.
  • Demoivre’s theorem: To find roots of complex numbers De Moivre's theorem is used. It is also used to solve complex numbers raised to powers.
  • Equations theories, Fundamental theorem of algebra and its consequences: Fundamental theorem of algebra, proved by Carl Friedrich Gauss states that every polynomial equation of degree n with complex number coefficients has n roots.
  • Review of Integration and Definite Integrals: Definite integral means a number when the lower and upper limits are constants and indefinite integral represents a family of functions whose derivatives are f.

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BSc Statistics Syllabus: Second Year Subjects 

  • Probability Theory: Probability theory is concerned with probability. There are several different probability interpretations, it treats the concept in a rigorous mathematical manner.
  • Index Numbers: An index number evaluates variations in a variable or group of variables in regard to geographical location, time, and other features.
  • Statistical Methods: The two main statistical methods are used in data analysis, which summarizes data using indexes and inferential statistics, which draws conclusions using statistical tests.
  • Mathematical Finance: Financial mathematics can be applied to investing strategies. It is the understanding of how to analyze data and make predictions that can help make smart investments. 
  • Utility and Production Functions: Production function, isoquants indicate the combination of two inputs that produce the same level of outputs and in the utility function, indifference curves show the combination that gives the consumers the same level of utility.

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BSc Statistics Syllabus: Third Year Subjects 

  • Stratified Random Sampling: Stratified random sampling involves the division of a population into smaller subgroups known as strata. It is formed based on members' shared attributes or characteristics.
  • Numerical Analysis: Numerical analysis solves continuous problems using numeric approximation. It involves designing methods that give approximate but accurate numeric solutions.
  • Inverse Interpolation: Process of finding the value of the argument corresponding to a given value of the function, between two tabulated functional values.
  • Sample Surveys: Sample surveys focus on selecting a set of individuals capable of representing the target population. Its aim is to gather the information that will boost data collection.
  • Numerical Integration: The approximate computation of an integral using numerical techniques is Numerical Integration. The numerical computation of an integral is called quadrature.

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Syllabus of Courses Similar to BSc Statistics

There are various other degree courses similar to BSc statistics and students will be able to have similar careers. The syllabus of these courses are mentioned below:

BSc Computer Science Statistics Syllabus

Semester I Semester II
Introduction to Digital Electronics Office Management
Basics of Computer Science Value and Ethics
Engineering Mathematics Advance Mathematics
Environmental Sciences Computer Application
Communication English-I Open Source Software Platform-LINUX
Semester III Semester IV
Technical Writing Report Writing
Programming language using C++ Computer Networking
Operating Systems concepts Numerical Analysis
Fundamental of Data Structures System Programming
System Analysis and design Database Management Systems
Analytical Skill Development-I Analytical Skill Development-II
Semester V Semester VI
Python programming Project Work
Trial Project Introduction to Web Technology
Introduction to Software Engineering
Mobile Application Development
Personality Development Program

BSc Mathematics and Statistics Syllabus

1st Year
Linear Algebra Introduction to Vector Calculus
Real Analysis ODEs and Applications
Mathematical Foundation & Analysis Probability I
Mathematical Problem Solving Statistics I
2nd Year
Real Analysis A Random Models
Algebraic Structures 1 Statistical Methods
Partial Differential Equations and Vector Calculus A Practical Statistics
Probability 2 Metric Spaces
Calculus of Several Variables -
3rd Year
Foundations of Finance A Quantum Computing
Double Project Mathematics Education
Project Linear Analysis
Fractal Geometry Topology

BSc in Economics Mathematics Statistics

Semester I Semester II
Additional English Additional English
Principles Of Microeconomics Principles Of Macroeconomics
Differential Calculus English - Ii
Differential Calculus Using Maxima French
Descriptive Statistics And Probability Hindi
Descriptive Statistics And Probability Practical Kannada
English - I Differential Equations
French Differential Equations Using Maxima
Hindi Sanskrit
Kannada Statistical Methods
Sanskrit R Programming
Tamil Statistical Methods Practical
- Tamil
Semester 3 Semester 4
Additional English Additional English
Fundamentals Of Economic Growth And Development Advanced Micro And Macroeconomics
Real Analysis International Economics
Introduction To Python Programming For Mathematics Introduction To Mathematical Modelling Using Python
Statistical Inference Algebra
Applied Excel Sampling Techniques
Statistical Inference Practical Sampling Techniques Practical
English - Iii English - Iv
French French
Hindi Hindi
Kannada Kannada
Sanskrit Sanskrit
Tamil Tamil
Semester 5 Semester 6
Research Methodology For Economics Introduction To Econometrics
Mathematical Economics Dissertation
Linear Algebra Complex Analysis
Linear Algebra Using Python Complex Analysis Using Python
Linear Regression Models Time Series Analysis And Forecasting Techniques
Linear Regression Models Practical Electives
Electives -

See Also: Top BSc Statistics Colleges in India

BSc Statistics Syllabus in UGC 

Semester I Semester II
English/MIL Communication) /Environmental Science Environmental Science/ (English/MIL Communication)
Descriptive Statistics Probability and Probability Distributions
Practical/Lab. work Practical/Lab. work
Calculus Algebra
Practical/Lab. work Tutorial
Tutorial Any one from the List of Generic Elective / Interdisciplinary Courses from other Subjects
Practical/Lab. Work Practical/Lab. Work
Semester III Semester IV
Sampling Distributions Statistical Inference
Practical/Lab. Work Practical/Lab. Work
Survey Sampling & Indian Official Statistics Linear Models
Practical/Lab. Work Statistical Quality Control
Mathematical Analysis Any one from the List of Skill Enhancement Electives
Any one from the List of Skill Enhancement Electives Any one from the List of Skill Enhancement Electives
Any one from the List of Generic Elective / Interdisciplinary Courses from other Subjects -
Practical/Lab. Work -
Semester V Semester VI
Stochastic Processes and Queuing Theory Design of Experiments
Statistical Computing Using C/C++ Programming Multivariate Analysis and Nonparametric Methods
Any one from the List of Discipline Specific Elective(DSE) Any one from the List of Discipline Specific Elective(DSE)
Any one from the List of Discipline Specific Elective(DSE) Any one from the List of Discipline Specific Elective(DSE)
Practical/Lab. work Practical/Lab. work

BSc Statistics Syllabus in Swami Ramanand Teerth Marathwada University

BSc Statistics Syllabus in Swami Ramanand Teerth Marathwada University is mentioned below 

Semester I Semester II
Elementary Probability Theory Discrete Probability Distributions
Descriptive Statistics Theory of variables and attributes
- Annual Practical
Semester III Semester IV
Continuous Probability Distributions Exact Sampling Distributions
Applied Statistics Statistical Inference & Computing Using R
Practicals SEC II (Anyone Skill from optional)
SEC I (Anyone Skill from optional) Practicals
Semester V Semester VI
Survey Sampling Design of Experiments
Linear Programming(Elective) Operations Research
Statistical Quality Control Demography(Elective)
SECS – III SECS – IV
- Practical’s based on theory papers

BSc Statistics Syllabus in Viswa Bharati University

BSc Statistics Syllabus at Viswa Bharati University is mentioned below 

Semester I Semester II
(English/MIL Communication) /Environmental Science Environmental Science/(English/MIL Communication)
Descriptive Statistics (Theory) Probability and Probability Distributions(Theory)
Descriptive Statistics (Practical/Lab Work) Probability and Probability Distributions (Practical/Lab Work)
Calculus (Theory) Algebra (Theory)
Calculus (Tutorial) Algebra (Tutorial)
Practical/Lab Work Practical/Lab Work
Semester III Semester IV
Sampling Distributions(Theory) Survey Sampling & Indian Official Statistics (Theory)
Sampling Distributions (Practical/Lab Work) Survey Sampling & Indian Official Statistics (Practical/Lab Work)
Statistical Inference (Theory) Linear Models (Theory)
Statistical Inference (Practical/Lab. Work) Linear Models (Practical/Lab. Work)
Mathematical Analysis (Theory) Statistical Quality Control (Theory)
Mathematical Analysis (Tutorial) Statistical Quality Control (Practical/Lab. Work)
Practical/Lab Work Practical/Lab. Work
Semester V Semester VI
Stochastic Process and Queuing Theory (Theory) Design of Experiments(Theory)
Stochastic Process and Queuing Theory (Practical/Lab Work) Design of Experiments (Practical/Lab Work)
Statistical Computing using C/C++ Programming (Theory) Multivariate Analysis and Nonparametric Methods (Theory)
Statistical Computing using C/C++ Programming Multivariate Analysis and Nonparametric Methods (Practical/Lab. Work)
Any one from the List of Discipline Specific Electives Any one from the List of Discipline Specific Electives
Practical/Lab Work Practical/Lab Work

BSc Statistics Books

Name of the Book Author
Introduction to Statistical Theory Charles J. Stone and Sidney C. Port
Introduction Methods of Numerical Analysis S.S Sastry
Fundamentals of Applied Statistics S.C Gupta & V.K Kapoor
A Brief Course in Mathematical Statistics Elliot Tanis & Robert V. Hogg
Theory and Analysis of Sample Survey Designs Daroga Singh and Fauran S. Chaudhary

BSc Statistics Syllabus: FAQs

Ques. What is BSC Statistics?

Ans. A BSc Statistics is a 3 year bachelor's degree program, it equips students with problem-solving skills and mathematical comprehension important for tackling diverse statistical applications.

Ques. What are the Job options after BSc Statistics?

Ans. BSc Statistics graduate can expect job positions like Statistician, Risk Analysis, Actuary Manager, etc.,

Ques. What are the core subjects in BSc Statistics?

Ans. Core Subjects in Bsc Statistics:

  • Probability Theory
  • Descriptive Statistics 
  • Probability Distributions
  • Linear Algebra and Population Statistics
  • Mathematical Methods and Probability Theory
  • Sampling Distributions and Statistical Infer
  • Quantitative analysis

Ques. What are the Top colleges for BSc Statistics?

Ans. The top colleges for BSc Statistics are: Fergusson College, St. Xavier’s College, Mount Carmel College, Christ University, Ramnarain Ruia Autonomous College, etc

Ques. What are the Lab/practical Subjects in BSc Statistics?

Ans. The Lab/Practicals subjects in BSc Statistics:

  • Descriptive Statistics and Probability
  • Inference
  • Statistical Methods
  • Sampling Theory and Time Series
  • Statistical Practical's using MS – Excel

Ques. What is the average salary after completing BSc Statistics?

Ans. BSc Statistics grduate can get a starting salary of INR 2.5 lakhs to 3.5 lakhs per year, this can go up to INR 4.5 lacs per year

Ques. Is it worth doing BSc Statistics?

Ans. Yes, it is worth doing BSc Statistics because after completion of the course, students may choose from various job options, they can apply for Indian Statistical services, Civil services, and Indian Economic Services exams or can pursue a lucrative career in diverse fields.

Ques. What are the electives in BSc Statistics?

Ans. Elective Subjects in BSc Statistics are:

  • Statistical Quality Control and Reliability
  • BioStatistics
  • Actuarial Statistics
  • Operations Research

Ques. What are the project topics in BSc Statistics?

Ans. Popular ptoject topics are:

  • Statistical Analysis Of Students' Expenditure In Tertiary Institutions
  • Time Series Analysis Of Patient Attendance
  • An Analysis Of Infant Mortality Rate From 1995 To 2004
  • Statistical Analysis Of Road Accidents In Nigeria
  • Analysis Of Cash Deposits Pattern In Commercial Banks

Ques. What are the techniques of teaching BSc Statistics?

Ans. Some of the techniques are:

  • Demonstration
  • hypothesis making and discussion
  • Problem-solving exercises
  • Incorporating real data into the course content

Bachelor of Science [B.Sc] (Statistics) : 19 answered questions

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Ques. What is the future of B.Math and B.Stat students in ISI, Kolkata?

● Top Answer By Praniti Das on 28 Sept 21

Ans. ISI Kolkata does not provide a B.Math program. The majority of B.Stat students return for M.Stat while some people join CMI, TIFR, IIM, and other such organizations.  M.Stat employees earn an average of 16–17 LPA, and many of them attend prestigious US graduate institutions. There are no fees for the entire program, and a stipend is provided. So, if you're looking for a career here, your future is bright.Read more
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Ques. Is it wise to prepare for the ISI Kolkata B.Stat entrance exam instead of IIT?

● Top Answer By Shrayanshi Roy on 15 Sept 21

Ans. Taking a course at IIT is just as difficult and demanding as pursuing a B.Stat course at ISI. They are whatever you choose to do with your life, whether you like mathematics/statistics enough to spend three years learning statistics (and a little math) and statistics solely at ISI, or you believe you are skilled in another subject that has a good course at one of the numerous IITs. It depends totally on where you want to be. Furthermore, even if you prepare for college X, there is no guarantee that you will be accepted. As a result, keeping colleges Y and Z in mind as a backup is always a good idea. Only you can decide which option is preferable for you and what you want. Read more
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Ques. What should I expect in the interview for a B.Stat at ISI, Kolkata?

● Top Answer By Gagan Singh on 22 Sept 21

Ans. My brother appeared for the interview last year, so I think I can answer your question. The panelists will evaluate your ability to explain new questions. They might even ask you to solve the questions on the board. You must be clear about your choice of ISI Kolkata as you will be asked the reason for the same during the interview. Expect questions on topics such as Calculus, Geometry, Combinatorics, and Probability. Keep your basics clear, know the definitions, and practice solving problems based on the definitions. Just keep practicing, be confident and give your best shot at the interview.Read more
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Ques. How good is the B.Stat course at ISI Kolkata?

● Top Answer By Deepika Mitra on 05 May 22

Ans. ISI Kolkata B.Stat can be an ideal fit for you, if you are interested in Mathematics and Statistics.  However, in terms of placements, doing just a B.Stat isn’t enough. Recruiting companies rarely employ students with just a B.Stat degree. If you want good placement packages do an M.Stat from ISI or a foreign university. After completing M.Stat, students usually receive an average CTC of around INR 19 LPA.Read more
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Ques. How can I prepare for the B.Stat. at ISI, Kolkata?

● Top Answer By Tina Dey on 21 Sept 21

Ans. There are three sections in the entrance exam and the level of maths is the same as what you studied in your 12th. The exam follows the pattern of most high school mathematics competitions (RMO, INMO, etc). The three sections of the Entrance Exam consist of MCQ, A Subjective Test, and an Interview. The books you must know are: Problem Solving Strategies by Engel Arthur Test of Mathematics at the 10 + 2 level, Indian Statistical Institute, Published by Affiliated East-West Press Pvt. Ltd. Challenge and Thrill of Pre-College Mathematics by B. J. Venkatachala You should complete these all and do previous year’s papers of ISI/CMI RMO, INMO and IMO. For Interview : Once you crack the exam, the interview part won’t be that difficult. Answer the questions confidently and honestly. The entrance exam of ISI is not easy and also there are only a few seats for B.Stat.  You have to prepare well. Do not overthink and do your preparation well. This will help you a lot. Be calm and try to think of cracking the exam and the latter part would be an easy task for you.Read more
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Ques. I am currently enrolled in B.Tech at an NIT is it okay for me to do the ISI Kolkata B.Stat program? Consider the fact that I dropped one year after year 12 for NIT.

● Top Answer By Priyam Dey on 13 Sept 21

Ans. The path you want to get into is a very dangerous one and it can totally spoil your career without you being able to do anything for it.  ISI, B.Stat is a very famous course and is known for the entrance paper which is considered very tough by all those appearing in it. The course is tough because the student who is above the cutoff receives a huge financial help from the government covering the major portion of the tuition fee. Apart from this after the entrance exam the candidate can be certain of a well paid job one he/she completes the course and is awarded with the degree. It gets difficult for the selections if there’s a year gap as lower age students are preferred and in your case there's a two year gap so the chances reduce even more. It would be very risky to change your college again and could cost some harm in your career.Read more
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Ques. Is it safe to join a B.Stat at ISI Kolkata (I'm a non-Bengali student)?

● Top Answer By Natasha Kaur on 22 Sept 21

Ans. Kolkata is one of India's safest cities. This city attracts visitors from all over India and the world. That's why it's known as the "City of Joy." Bengalis are extremely friendly.  ISI Kolkata is known to have the most sought-after institute in Statistical expertise. It has one of the best faculty members in India. Out of which, 30 professors were published in Standford University. Moreover, you have got a seat in B.Stat which is considered one of the toughest examinations for Mathematics in Asia. You should base your judgement on the basis of a stereotype as letting go of this opportunity will be a wrong decision. Almost 50% of the batch consists of Non-Bengalis here at ISI Kolkata. There is no need to worry as the institute also has a rigid anti-ragging policy.Read more
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Ques. Is Asutosh college good for statistics honours?

● Top Answer By Saunak Guha on 19 Oct 21

Ans. I have a few friends from the Statistics department. Based on the things I heard from them, I will say the department is quite great. Professors are well-qualified, strict and they never miss any scheduled class. Attendance is taken seriously in the department. You won’t be able to slack off. You also have to study seriously for the tests. Because if you fail in sectionals, you won’t be able to sit for finals. Read more
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Ques. Which branch is better, IIT Kanpur statistics and data science (B.Sc) or IIT Dhanbad CSE?

● Top Answer By Akriti Banerjee on 12 Oct 23

Ans. Both the courses are good.  However, with the advancement of technologies like AI and ML, and one’s increasing dependency upon them, Data Science has become a field with immense potential.  Data Science has a lot of future scope, and its demand will only increase with time. This field requires a good understanding of Statistics, Mathematics, and Computer Science (Especially Python Language).  BSc. in Data Science is an even better option than CSE at present. Moreover, college-wise, IIT Kanpur is way ahead of IIT Dhanbad.  Therefore I would recommend you choose BSc. Statistics and Data Science at IIT Kanpur over CSE at IIT Dhanbad. Read more
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Ques. How is SVKM's NMIMS Science department, specifically a B.Sc in applied statistics and analytics?

● Top Answer By Shivangi Khatana on 18 Jun 21

Ans. One of my friends is currently doing her Bachelor's in Science, specifically in Applied Science and Statistics from NMIMS- Kharghar campus. She has given me some input which I will be sharing with you. Frankly, everything so far has been excellent for her. She appreciates the syllabus and all that's taught. The syllabus covers all that one needs to know about Data Science and its basics. My friend is about to get into the 3rd semester after this Corona wave is over. The basics that were covered in first year were: Mathematics - Calculus Statistics - Descriptive Probability and Distribution Economics - Micro and Macro For coding, she had: " C " language, DBMS, " R ", SPSS, SCILAB and Python (from the second year of syllabus) Actuarial Science and additional projects were added by the time she had reached her second year. You are seen as more experienced when you begin studying Actuarial Science. It is sufficient to cover all your basics that concern Data Science. Along with a brilliant syllabus arrives a pretty hectic schedule. There are regular exams wherein you will only get a week for preparation. Not only this but there are presentations, assignments and projects to cover and submit before the deadline. It is going to be a thrilling experience as all the knowledge and information will help you understand how to perform well under any circumstances with perfection.Read more
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Bachelor of Science [B.Sc] (Statistics) Colleges IN INDIA

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8.4 K first year fees
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Loyola College
Chennai, Tamil Nadu
48.94 K first year fees
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Fergusson College
Pune, Maharashtra
14.58 K first year fees
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Presidency College
Chennai, Tamil Nadu
1.32 K first year fees
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St. Xavier's College
Mumbai, Maharashtra
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