BSc Statistics

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Jun 28, 2024 18:47PM IST

BSc Statistics is a bachelor’s degree course that spans three years and equips students with mathematical ways of analysing and interpreting statistical problems. After completing this course, graduates can work as Research Professionals, Actuary Managers, statisticians, etc. with the highest starting salary of INR 8 LPA.

BSc Statistics Overview

BSc Statistics course is a three-year undergraduate programme that broadly deals with the areas of Probability and Statistical Methods, Numerical Analysis, Survey Sampling, etc. that is essential for analysis of statistical data and solving statistical problems. It can be pursued after class 12 and is spread over six semesters covering different aspects. Students willing to pursue this course must have completed 10+2 in the Science stream with Physics, Chemistry, and Mathematics as compulsory subjects and obtained a minimum of 50% aggregate marks from a recognised board. Moreover, the BSc Statistics syllabus and subjects are divided into core and elective subjects that include topics such as Descriptive Statistics, Quantitative Analysis, Probability Distributions, Demography, and more.

Some top entrance examinations for this course are GSAT, DSAT, CUET, BHU UET, etc. Further, BSc Statistics admissions are granted based on merit and also on the candidates’ performance in the entrance exams. A few popular colleges that provide this course are Hindu College Delhi University, Loyola College Chennai, Fergusson College Pune, Christ University Bangalore, etc. with an average fee of INR 2,000 to 2,00,000 p.a. Given the numerous BSc Statistics career opportunities in both public and private sectors, students opt for this course to learn skills that are needed in today’s market. After completing the course, students can work as Risk Analysts, Research Professionals, Credit Risk Strategists, Statistics Managers, etc. with an average BSc Statistics salary in India of INR 3-8 LPA.

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BSc Statistics Highlights

The tabulated data and infographic below will help candidates quickly understand the major aspects of the BSc Statistics course.

BSc Statistics Highlights

ParticularDetail
Course NameBSc Statistics
LevelUndergraduate
Duration 3 years
Examination TypeSemester
Eligibility CriteriaAt least 50% aggregate marks in 10+2 from a recognised board with Mathematics as a core subject.
Admission ProcessMerit-based + Entrance Examination
Popular CollegesHindu College Delhi University, Loyola College Chennai, Fergusson College Pune, and more.
Average Course FeeINR 20,000 to 2,00,000
Average Starting SalaryINR 4-8 LPA
Top RecruitersCognizant, IBM, Infosys, Wipro, Deloitte, HDFC Bank, Google, etc.
Top Employment AreasFinance institutions, Banking institutions, Educational institutes, R&D firms, Government organisations, Trading companies, Insurance companies, etc.
Popular Career OptionsRisk Analyst, Actuary Manager, Research Professional, Statistician, Credit Risk Strategist, Statistics Manager, etc
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Why Choose a BSc Statistics Degree?

Statistics is unquestionably a profitable profession. People who have earned a bachelor's degree in statistics are in high demand in today's business world, which is becoming increasingly data-driven. Statistics are used in a variety of investigations, ranging from demographic studies to environmental studies. One can work as a business analyst, research officer, data analyst, or even an investigator. The following infographic quickly highlights some convincing reasons to choose a BSc Statistics degree.

Why Choose a BSc Statistics Degree?

In the government sector, statisticians are needed to work on studies and research on consumer prices, economic fluctuations, employment patterns, demographic trends, and other topics. The Union Public Service Commission holds tests practically every year to select officials for the Indian Statistical Services. Marketing, insurance, and information technology all demand statistical expertise in the private sector. Overall, the BSc Statistics course is highly industry-oriented where candidates will develop problem-solving skills, analytical skills, and logical reasoning skills.

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What is an Online BSc Statistics Degree?

The online or distance BSc Statistics course teaches students the key statistical and mathematical concepts. Candidates with disabilities, limited time, or no resources can benefit from this online learning course. It is offered by several colleges, universities, and online educational centres through their programmes, which are established with approval from UGC, AICTE, and DEB. On average, the fee for these courses ranges from INR 10,000 to 45,000. These institutes' placement units also provide equal work opportunities for students. They are given job options such as risk analyst, research professional, statistician, actuary manager, and so forth by establishing relationships with associated firms.

Candidates who enrol in the online BSc Statistics course gain a variety of skill sets, including inference, identifying patterns, analysing data, and other pertinent expertise. Some popular colleges in India that offer an online BSc Statistics course include Dr B R Ambedkar Open University (BRAOU), ANUCDE Guntur, Andhra University, U P Rajarshi Tandon Open University (UPRTOU), etc.

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What is the Difference Between BSc Statistics and BSc Statistics Honours?

In the table below we've laid out the differences between BSc Statistics and the BSc Statistics Honours program based on a few key factors:

CriteriaBSc StatisticsBSc Statistics Honours
Full FormBachelor of Science in StatisticsBachelor of Science in Statistics Honours
Course OverviewThe main focus of it is on data collection, logical segmentation, and interpretation of the collected data.It is a three-year undergraduate program that focuses on statistics and statistical principles. The program not only emphasises data gathering, meaningful segmentation, and interpretation, but it also takes a more thorough approach to the subject.
Duration3 Years3 Years
EligibilityA minimum of 50% aggregate marks in 10+2 from a recognised board with Mathematics as one of the core subjects.A minimum of 55% aggregate marks (Relaxable for reserved category students) in 10+2 from a recognised board or equivalent exam.
Admission ProcessMerit-based or Entrance ExaminationEntrance exam or Merit-based
Average Annual FeesINR 5,000-1,50,000INR 12,000-2,75,000
Top CollegesMount Carmel College, Christ University, Fergusson College, St. Xavier’s College, Ramnarain Ruia Autonomous College, etcBHU, BJB Autonomous College, DAV University, Aligarh Muslim University, Amity University, Assam University, Dibrugarh University, etc.
Average Annual SalaryINR 4.5-8 LPAINR 5-8 LPA
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Types of BSc Statistics Programs

As discussed, BSc Statistics deals with data collection, segregation and interpretation. Statistical analysis, mathematics, risk assessment, and permutations and combinations are among the topics covered in-depth in this course. These courses are provided at different academic levels and are offered to prospective students in all three modes of learning: full-time, part-time and online/distance education. The following is a discussion of the types of BSc Statistics courses.

Full-Time BSc Statistics Courses

Full-time on-campus attendance, timely completion of coursework, and semester-by-semester offline exams are requirements for students. In addition, as part of the course requirements, they have to complete practicals and projects. They also learn deeper topics and acquire real-world experience in the subject by actively interacting with their teachers and classmates.

Distance/Online BSc Statistics Courses

Distance/online courses also last for three years, and they can be taken at any time and from any location. Working professionals who are unable to attend full-time courses are considered ideal for this course. Universities offering this course include Dr B R Ambedkar Open University (BRAOU), ANUCDE Guntur, Andhra University, and more.

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BSc Statistics Eligibility Criteria

The following are the BSc Statistics eligibility requirements that students must meet:

  • Students must have completed Class 12 with a minimum aggregate of 50% in all of the subjects from an accredited school.
  • Candidates must also have completed Class 12 and have Mathematics as one of their core subjects.

The BSc Statistics course eligibility criteria may vary slightly from college to college depending on their admission requirements and laid down procedures.

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BSc Statistics Entrance Exams

After 12th grade, there are numerous entrance examinations to choose from, and the top four BSc Statistics entrance exams are given below. Students can determine which exam they should take based on their interests and how it will help them reach their goals of getting into top colleges in India. The following enlists the same: 

  • CUET: The National Testing Agency (NTA) administers the CUET exam every year. It is a nationwide common entrance examination for admission to undergraduate programs.
  • GSAT: The Gandhi Institute of Technology administers the GITAM Science Admission Test (GSAT) to students seeking admission to undergraduate and postgraduate science programs. This entrance exam is a nationwide aptitude examination that takes place once a year.
  • DSAT: The Dayanand Sagar Admission Test (DSAT) is held by Dayananda Sagar University (DSU) for Undergraduate and Postgraduate degrees. DSAT is a national entrance exam that is offered in both offline and online formats.
  • SUAT: The Sharda University Admission Test (SUAT) is a university-level admission test for Sharda University's multiple undergraduate and postgraduate programs. The SUAT exam lasts 90 minutes (1.5 hours). SUAT is an online computer-based exam.
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List of Popular BSc Statistics Specialisations

As discussed, the field of BSc Statistics is concerned with the collection, arrangement, analysis, interpretation, and presentation of data. It is a branch of mathematics that provides good employment prospects in both the public and private sectors, as well as a knack for specialising in the field of statistics. The following is a discussion about the various specialisations offered in the BSc Statistics course.

BSc Statistics Course Specialisation #1: Statistics and Applied Mathematics

This programme is intended to address real-world problems of scientific or decision-making traits using logic and mathematics. It helps individuals develop into independent learners who are prepared for prosperous careers in research, business, and academia.

BSc Statistics Course Specialisation #2: Statistical Biology

The field of biostatics develops biologically relevant statistical skills. In this sense, a three-year honours programme in statistical biology is the BSc programme. Nonetheless, a broad range of mathematical and statistical techniques and their applications in biology are covered in this course's curriculum.

BSc Statistics Course Specialisation #3: Quantitative Finance

This method applies the domains of scientific computing, statistics, finance, and mathematics to financial trading and investment activities through computer programming. Nonetheless, the curriculum offers the prospect of training as a quantitative analyst.

BSc Statistics Course Specialisation #4: Financial Mathematics

An honours programme leading to a bachelor's degree in financial mathematics permits employment in banking and business. The curriculum for this programme emphasises applying mathematical principles to financial situations to develop computational skills.

BSc Statistics Course Specialisation #5: Decision Analytics

This programme is designed with the fundamentals of modern data analytics in mind. However, it provides a perceptive fact-finding approach to handling difficult circumstances and making decisions. Both theoretical and practical current statistics are covered in the course.

BSc Statistics Course Specialisation #6: Data Science

The modelling, analysing, and interpretation of actual data — which is necessary for business, research, and the economy — are taught in this degree programme, together with practical experience. The theoretical and practical facets of modern statistics are also covered. The degree programme covers basic probability, statistics, and mathematics during the first two years.

BSc Statistics Course Specialisation #7: Computational Biology

The human body's architecture, cellular functions, and disease management are just a few of the medical subjects that span the study of biology. Using mathematical and computational methods, computational biology aims to solve complex biological and biomedical challenges.

BSc Statistics Course Specialisation #8: Bioinformatics

The study of collecting and evaluating complicated biological data, such as genetic codes, is known as bioinformatics, and a bachelor's degree programme in it is offered. It is a field that uses the interface of biology, computers, and statistics for molecular biology, organism biology, and biomedicine.

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BSc Statistics Admission Process

Admission to BSc Statistics courses by various colleges and universities in India is offered through two methods: Direct/Merit-based admissions and the other is Entrance exam based admissions to BSc Statistics courses.

BSc Statistics Merit-based or Direct Admission

In India, most of the colleges use a merit-based or direct admission system to admit students to their BSc Statistics courses. The merit-based procedure for admission to BSc Statistics program used by various colleges is mentioned below:

  • Candidates are chosen on the basis of merit in this process, based on their performance in the qualifying examination.
  • To apply for this method, candidates just simply apply to the institution or university.
  • After the results of the Board's examination are revealed, colleges will announce their cut-off scores.
  • Candidates who scored greater or equal to the projected cut-off score will be entitled to enroll in the institute's programme.
  • If a student does not meet the cut-off score on the first cut-off list, they must wait until the second cut-off list or apply to any other college with a lower cut-off score.

BSc Statistics Entrance Exam based Admission

Admission to some colleges for BSc Statistics is done through entrance tests.

  • Candidates must appear for the college's entrance examination as part of this process.
  • Candidates are chosen based on their performance in university/college entrance examinations.
  • Candidates must first register for the college's entrance exam in order to be considered for this admissions process.
  • The college will send the exam schedule before the entrance exam.
  • The college will reveal its cut-off list after the entrance exam results are released.
  • If a candidate's name appears on the merit list, he or she is eligible to enroll in the course.
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BSc Statistics Course Fees

The sort of college attended, the student's scholarship status, the college's ranking, and other factors all influence tuition fees. The BSc Statistics program’s average tuition expenses often range from INR 5K to 1.5/2 LPA.

The following are the BSc Statistics average annual fees for some of India's best colleges from different cities in India offering BSc Statistics program:

Institute Name

Annual Fees

Lady Shriram College for Women

INR 20,670

Hindu College

INR 20,460

St. Xavier’s College, Mumbai

INR 7187

Mount Carmel College

INR 42,000

Gandhi Institute of Technology and Management

INR 65,000

Loyola College

INR 16,790

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BSc Statistics Syllabus/ Subjects

The scientific study of the gathering, assessing, interpreting, and presenting of numerical and empirical data is covered in the BSc Statistics syllabus. The course subjects are skill-focused and offer industry-relevant knowledge to help students pursue potential career options. Listed below are brief BSc Statistics subjects covered during the course duration:

  • Applied Numerical Methods
  • Descriptive Statistics
  • Design of Experiments
  • Mathematics
  • Operations Research
  • Probability and Random Variables
  • Programming in C
  • Sampling Techniques
  • Statistical Inference
  • Statistical Quality Control
  • Stochastic Processes
  • Testing of Hypothesis
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BSc Statistics Higher Education Programs

The scope after doing the BSc Statistics course is enormous. The candidates can do jobs on multiple profiles as mentioned above immediately after BSc Statistics. However, in order to get a better profile and salary structure, most of the students pursue higher education in the similar specialization. One can check the list of popular courses for pursuing higher education after completing their graduation in BSc Statistics. 

  • MSc Statistics
  • MSc Actuarial Science
  • MBA
  • Masters in Statistics
  • PGDM Courses
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FAQs about B.Sc Statistics

Can you become a data scientist with a statistics degree?

Yes, a statistics degree can provide a strong foundation for a career in data science. Statistics knowledge is crucial in understanding and analyzing data, which is a core aspect of data science. However, additional skills such as programming, machine learning, and data visualization are often required to excel in the field. Gaining practical experience through projects and internships can also enhance job prospects.
 

Can I do MSc data science after BSc statistics?

Yes, you can pursue an MSc in Data Science after completing a BSc in Statistics. Both degrees provide a strong foundation in quantitative skills and analysis, making the transition to data science feasible. Admissions requirements may vary, so it's advisable to review specific program prerequisites and determine if any additional coursework or experience is necessary.

What is the difference between BSc statistics and BSc data science?

A BSc in Statistics focuses on mathematical and theoretical aspects of data analysis, including probability theory and statistical methods. On the other hand, a BSc in Data Science combines statistics with computer science and programming skills to collect, analyze, and interpret large and complex data sets, with an emphasis on practical applications and machine learning techniques.

Is Statistics more math or science?

Statistics is a discipline that combines elements of both math and science. While it relies on mathematical concepts and methods for data analysis and probability theory, it is also rooted in scientific inquiry, as it involves the collection, interpretation, and inference of data to make informed conclusions and predictions about the world.

How do I study Statistics for exams?

To study Statistics for exams, start by understanding key concepts and formulas. Review class notes, textbooks, and online resources for practice problems. Break down complex ideas into simpler parts and practice solving different types of problems. Create concise study notes, use flashcards for definitions, and seek help from teachers or peers when needed. Regularly review and test yourself to reinforce learning.

What are the basics of Statistics?

The fundamentals of statistics encompass concepts such as central tendency and dispersion. Central tendencies refer to measures like mean, median, and mode, while dispersions involve variance and standard deviation. The mean represents the average value of observations, whereas the median represents the middle value when observations are arranged in order.

What is the hardest topic of BSc Statistics?

Some commonly challenging topics include advanced probability theory, mathematical statistics, multivariate analysis, and time series analysis. These subjects often involve complex mathematical concepts and require a strong understanding of calculus, linear algebra, and statistical inference.

Who should study BSc Statistics?

Anyone with an interest in data analysis, problem-solving, and making informed decisions should consider studying BSc Statistics. This program equips students with essential skills in collecting, analyzing, and interpreting data, making them valuable in various industries such as finance, healthcare, market research, and government. BSc Statistics prepares individuals for careers as statisticians, data analysts, researchers, and consultants, among others.

Which colleges offer BSc Statistics through distance mode?

Some colleges that offer a BSc in Statistics through distance mode include University of Mumbai, University of Madras, Annamalai University, and Dr. B.R Ambedkar Open University. It is advisable to check with the respective colleges for the most up-to-date information on their distance education programs.

Which is better applied statistics or data science?

Data science strives to achieve precise forecasts of forthcoming behaviors and trends within a specific market or industry. The application of applied statistics remains vital in resolving numerous practical challenges and deriving fundamental insights for businesses and organizations.

What are the disadvantages of studying Statistics?

Complex mathematical concepts, formulas, and calculations can be challenging to understand and apply. Statistical analysis may be time-consuming and require large datasets. Misinterpretation of data or statistical results can lead to incorrect conclusions. There is a risk of relying solely on statistical methods without considering other relevant factors. Finally, statistical software and tools can be expensive and require technical proficiency to operate effectively.

Can a PCB student pursue BSc Statistics?

Yes, a PCB (Physics, Chemistry, Biology) student can pursue a BSc Statistics degree. The eligibility criteria for admission may vary depending on the university or institution, but generally, PCB students can apply for BSc Statistics programs if they meet the required prerequisites and admission criteria.

Which is hard, Statistics or Physics?

Both disciplines necessitate careful analysis and creative thinking. However, unlike physics or pure mathematics, statistics offers greater flexibility with formulas and demands a quicker utilization of intellectual agility compared to physics.

Is Statistics a useful subject?

Yes, Statistics is a highly useful subject as it provides the tools and techniques to collect, analyze, interpret, and present data. It enables informed decision-making, facilitates scientific research, supports evidence-based practices, and helps in understanding and predicting patterns and trends in various fields of study.

Why Statistics is difficult to students?

Students often find statistics challenging because it is typically taught without real-life application. It is not until they begin analyzing data in their own research that they truly grasp and utilize statistical concepts. Just as cooking can only be learned by actually cooking, statistics can only be learned by independently analyzing data.

Which is better, BCom or BSc Statistics?

It depends on your interests and career goals. BCom focuses on business and commerce-related subjects, while BSc Statistics emphasizes statistical analysis and data science. Choose based on your preferred field of study and the career path you wish to pursue.

How to pass BSc Statistics?

To pass BSc Statistics, focus on attending classes regularly, actively participate in discussions, and complete assignments on time. Study consistently, understand key concepts, and practice solving problems. Utilize available resources like textbooks, online tutorials, and seek help when needed. Review previous exams and consult with professors for clarification.

What are the benefits of BSc Statistics?

BSc Statistics provides a strong foundation in quantitative analysis, data interpretation, and problem-solving skills. It prepares students for various career paths in data analysis, research, finance, and more. Graduates can pursue rewarding opportunities in industries with a growing demand for statistical expertise.

Which is tough, BSc Statistics or BSc Mathematics?

Both BSc Statistics and BSc Mathematics can be challenging, but the difficulty level may vary depending on individual strengths and interests. Statistics focuses on data analysis and probability theory, while Mathematics encompasses a broader range of topics. The level of difficulty ultimately depends on the student's aptitude and dedication.
 

Which is best, BSc Mathematics or BSc Statistics?

The choice between BSc Mathematics and BSc Statistics depends on your personal interests and career goals. If you enjoy pure mathematics and theoretical concepts, choose BSc Mathematics. If you prefer analyzing data and drawing conclusions, choose BSc Statistics. Both fields have diverse applications and offer promising career opportunities.

Does Statistics involve Math?

Yes, statistics involves math. Data collection, analysis, interpretation, interpretation, presentation, and organisation are all topics covered in this area of mathematics. Mathematical concepts and techniques are used to describe and understand patterns, relationships, and variability in data.

Is there scope in statistics?

Yes, there is ample scope in statistics. It plays a crucial role in data analysis, decision-making, and research across various fields like finance, healthcare, marketing, and social sciences. Statisticians are in demand for their expertise in interpreting data and making informed conclusions.

Which stream does Statistics belongs to?

Statistics, a mathematical branch, involves gathering, analyzing, and interpreting data. The field of statistics finds application in various domains such as marketing, psychology, scientific research, economics, sociology, social sciences, public health, and more.

Which jobs are best after B.Sc Statistics?

Data analyst, statistician, actuary, market researcher, financial analyst, risk analyst, operations researcher, business intelligence analyst, data scientist, and econometrician are some of the best jobs after B.Sc Statistics.

Is BSc Statistics difficult?

The difficulty of a BSc Statistics program can vary depending on individual aptitude and effort. However, in general, BSc Statistics can be challenging as it involves complex mathematical concepts, data analysis, and statistical modeling. Dedication and a strong foundation in mathematics are important for success.

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Related Questions

S

Sohini Bhattacharya, Content Team

-Answered on Nov-11-2024

Dear Student,

The average course fee structure for BSc Nursing at the Vijay Krishna College of Nursing ranges from INR 20,000 to INR 2,50,000 yearly. The selection process for the BSc Nursing course at Vijay Krishna College of Nursing is purely done on a merit basis. Students are required to subjit the course admission fee for the BSc Nursing degree at the Vijay Krishna College of Nursing, Visakhapatnam in online and offline modes to confirm their admission seat. As per the eligibility criteria for admission to BSc Nursing at the VKC College, Visakhapatnam, students are deemed eligible who pass higher secondary with at least 50% marks in aggregate, with Physics, Chemistry, and Biology as the core subjects at the 10 + 2 level. For more information related to the admission process, important dates, and fee structure, interested candidates are requested to contact the administrative cell of the college at its official email address or phone number.

Thank You

S

Sohini Bhattacharya, Content Team

-Answered on Nov-06-2024

Dear student, 

The college doesn't offer direct admission to students and they will have to appear for the JENPAS exam to study at Peerless College of Nursing, Kolkata. Students will have to meet the eligibility criteria and the exam authorities will select students based on merit. They will also have to meet the minimum JENPAS UG exam cutoff scores or score more than the cutoff scores to get selected. Students can go through the JENPAS UG eligibility criteria and Peerless College of Nursing admission process stated below.

JENPAS UG 2024 Eligibility Criteria

Students must have a minimum of 45 per cent aggregate in 10+2 in Physics, Chemistry, Biology & English and they must be 17 years of age Indian citizens to be eligible for the JENPAS UG Exam. They must also be residents of West Bengal and must submit residence proof in their online application to be eligible for the exam. 

Peerless College of Nursing Admission Process

Peerless College of Nursing admissions are done based on merit on JENPAS UG exam scores and the JENPAS UG cutoff 2024. Students must secure the minimum cutoff decided by the exam authorities to get admission to the college. They must register themselves on the official webpage through the JENPAS UG registration form, and upload documents such as mark sheets, certificates and more. Then students will be shortlisted based on their JENPAS UG results and a merit list will be released by the exam authorities. Then, selected students will be called for the JENPAS UG counselling rounds and they will have to fill in their choices before the last date. They will even get a chance to opt out of the counselling process during the college reporting round. They will have to pay the admission and secure their seats in the Peerless College of Nursing, Kolkata. 

Thank you.

A

Abhik Das, Student / Alumni

-Answered on June-15-2021

Dear student, there are many popular B.Sc statistics colleges situated in the northern part of Delhi including those colleges that are affiliated with Delhi University. Since you have specifically asked for those colleges which are not affiliated with Delhi University, we have accumulated a list of such colleges. You can gain access to the list of such colleges through the link provided here - Click here for CollegeDekho CAF! Through this list, you can find out a handful of colleges situated in the northern part of Delhi and are not affiliated with Delhi University. If a college grabs your attention, you can apply for provisional admission through the same application form. Call 18005729877 for more details!

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Top Government BSc Statistics Colleges in India

The following table highlights the top government BSc Statistics colleges in India along with their respective course fee:

Note: The BSc Food Technology fees mentioned in the table above are sourced from the official websites of the respective institutions, which may vary from one year to another.

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Top Private BSc Statistics Colleges in India

Since statistics are helpful in practically every field, the discipline has many applications. Consequently, the specialisations offered by BSc Statistics have a wide range. Statistics is a great choice for a career because it has many applications. To learn more about the best government and private institutions in India that provide this course, students can refer to the following sections. The following table highlights the top private BSc Statistics colleges in India along with their respective course fee:

College NameTotal Course Fee (Approx. in INR)
Amity University, Noida2,00,000 to 5,00,000
Banasthali Vidyapith3,00,000
Bharath Institute of Higher Education and Research 1,00,000 to 2,00,000
Chandigarh University 2,00,000
Christ University1,00,000 to 3,00,000
JSS Academy of Higher Education and Research87,000
Lovely Professional University (LPU)3,00,000 to 6,00,000
UPES Dehradun23,00,000
VIT Vellore2,00,000 to 4,00,000

Note: The BSc Food Technology fees mentioned in the table above are sourced from the official websites of the respective institutions, which may vary from one year to another.

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