MSc Statistics / Entry requirements

Year of entry: 2021

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Academic entry qualification overview

Expected Background

You are expected to have a first degree with a substantial amount of mathematics including Probability and Statistics. As a minimum you should have done Calculus or Mathematical Analysis, Linear Algebra, two courses in Probability and two courses in Statistics. A Mathematical Statistics course may count as one Probability and one Statistics course depending on the syllabus. If your course is called Advanced Mathematics, then we need to know how much calculus/linear algebra it contains. You can have a look at what Manchester students do in the first two years, or refer to the following list for a quick summary.

  • Calculus or Mathematical Analysis (functions of a single and several variables, continuity, derivatives, integrals, Mean Value Theorem, Taylor series expansion, minimisation and maximisation, Lagrange multipliers)
  • Linear Algebra (linear independence, determinant, inverse, eigenvalues and eigenvectors)
  • Probability I (probabilities and conditional probabilities, Bayes Theorem, moments)
  • Probability II (multivariate and conditional distributions, generating functions, Law of Large Numbers and Central Limit Theorem)
  • Statistics I (descriptive statistics, normal, t, chi-square and F distributions, significance tests)
  • Statistics II (Maximum likelihood estimation, Likelihood ratio tests, simple regression and analysis of variance).

You are expected to have done well in the above courses and your university should have a high national standing.

English language

All applicants will need to demonstrate competency in English language. Applicants who do not already possess an acceptable English Language qualification will need to take a recognised test and attain the required English Language score:

  • IELTS:  at least 6.5 overall with 6.5 in writing and no other sub-test less than 6.0.
  • TOFEL iBT:  at least 90 overall with 22 or above in writing and no other sub-test less than 20. We do not accept 'MyBestScore'.
  • Pearson PTE: at least 58 overall with 58 in writing and no other sub-test less than 50.

Further information on language requirements can be found on our website .

Pre-sessional English

We will consider applicants who do not meet these scores but you may be required to complete a pre-sessional English language course at the University of Manchester prior to the start of the course.

To be considered for a pre-sessional English language course for this programme we require the following minimum IELTS (Academic) scores:

  • 6 Week Pre-Sessional Course:  Minimum 6.0 overall with 6.0 in three sub-tests including writing and at least 5.5 in the remaining sub-test.
  • 10 Week Pre-sessional Course: Minimum 5.5 overall with no sub-test below 5.5.

If you have not yet completed your current academic study and are interested in studying a pre-sessional course, you must hold an IELTS for UKVI (Academic) test certificate.

English language test validity

Some English Language test results are only valid for two years. Your English Language test report must be valid on the start date of the course.

Other international entry requirements

We accept a range of qualifications from different countries. For these and general requirements including English language see entry requirements from your country .