Tentalabbet

TNG006 · 6 credits · Basic level (G2F) · Matematik, Tillämpad matematik

Statistics

Active · next start VT 2027

85%

passed the latest ordinary exam

TEN1 · 4 Jun 2026 · 52 students

89%

passed the ordinary exams, all sittings over the last 5 years

TEN1 · 354 students

36%

Harder than 36% of courses at basic level

Compared with 874 courses at the same level, ordinary exams over the last three academic years. 117 students.

Part of 3 programmes

Exam

TEN1 Written examination

  • 5
  • 4
  • 3
  • U

Ordinary exams

89% passed · 354 students

  • 85%52
  • 85%65
  • 90%71
  • 93%82
  • 89%84

Re-exams

61% passed · 57 students

  • 83%6
  • 20%5
  • 82%11
  • 78%9
  • 33%12
  • 44%9
  • 100%5
  • Pass the re-exam: 61% (57 students), compared with 89% (354 students) on the ordinary exam
  • Get 4 or 5: 57% (411 students)
Show small sittings (3)

Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.

  • 50%2
  • 100%1
  • 50%4

Other modules

Partial exams, hand-ins and labs. They are not part of the figures at the top.

Other module

KTR1 Written test

  • G
  • U

Main rounds

89% passed · 304 students

  • 100%63
  • 88%73
  • 86%80
  • 84%88

Later rounds

68% passed · 28 students

  • 68%28
  • Pass a later round: 68% (28 students), compared with 89% (304 students) on the ordinary exam

About the course

Aim

The course is intended to teach students to understand and use basic probability and statistical theory, that is, the theory for dealing with random experiments. The emphasis is on developing the statistical background required for use in engineering, economy and natural sciences. After the course the students should be able to:

  • Model and use both events and stochastic variables in different problems
  • Use conditional probability
  • Use the multiplication rule and combinations
  • Good understanding, derivation and use of distribution functions
  • Decide whether given random variables are independent
  • Calculate the expected value and variance for functions of stochastic variables
  • Use the Central Limit Theorem
  • Point estimation by Maximum likelihood, moment and least squares methods
  • Determine interval of confidence for mean and variance
  • Testing a hypothesis
  • Use regression analysis

Content

  • Probability theory: Sample space, events and probabilities. Combinatorics. Conditional probabilities and independent events. Discrete and continuous random variables, their probability distributions, expectations and variances. Normal, exponential, binomial, Poisson distributions etc. Functions of random variables. The central limit theorem.
  • Statistics: Point estimation. Properties of estimators. The method of maximum likelihood, the method of moments and the least squares estimation. Confidence intervals. Testing statistical hypotheses. Simple linear regression.
Examiner
Tomas Johansson
Scheduled hours
52 h
Main field of study
Matematik, Tillämpad matematik
Syllabus on Studieinfo ↗