Programme
of study: Statistics
CCH: Tercer Grado de CCH (Upper 6th)
Overview The statistics programme for upper 6th at The
Lancaster for all levels of study covers all the necessary requirements of
the CCH curriculum. In addition, students studying advanced level statistics will
study the S1 and S2 modules required for part of the mathematics AS/A2
Level examinations in May/June of the upper 6th. AS Level Modules Students who wish to take the AS Level must choose their subject
options so that they are able to sit exams in one of the following
combinations: P1 + P2 P1 + M1 (mechanics) P1 + S1 (statistics) A Level Modules Students who wish to take the A Level must choose their subject
options so that they are able to sit exams in one of the following
combinations: P1 + P3 + M1 + M2 (mechanics) P1 + P3 + S1 + S2 (statistics) P1 + P3 + M1 + S1 (mechanics and
statistics)
Statistics is offered as a core subject, focussing on applications to other disciplines, for those
students not wishing to present an A level module and as an advanced subject,
giving a more rigorous mathematical treatment of the underlying concepts, for
those students interested in following a career in mathematics or a related
subject and/or in presenting one or both of the A level modules.
The course will consolidate and develop the skills and knowledge acquired at IGCSE in the area of descriptive statistics and introduce techniques of exploratory data analysis. A review of basic probability will lead to the introduction of random variables as a prerequisite for statistical inference, which is studied in the second semester. We aim to promote in each student the ability to interpret, evaluate and make judgements on the basis of evidence and to pose and test hypotheses through the design, implementation and analysis of appropriate statistical investigations.
Students should acquire an important range of analytical skills, relevant to a wide range of research and applied fields, and also be introduced to areas of current research and development within statistics and related disciplines.
CCH
Topics
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q
Thinking statistically |
q
Populations and sampling |
|
q
Statistical models and hypotheses |
q
Parameters and sample statistics |
|
q
Exploratory data analysis |
q
Sampling distributions |
|
q
Organising data |
q
Estimation |
|
q
Graphical techniques |
q
Correlation and dependence |
|
q
Summary statistics |
q
Regression |
|
q
Data features |
q
Central Limit Theorem |
|
q
Introduction to probability |
q
Confidence intervals |
|
q
Random variables |
q
Prediction errors |
|
q
Normal, Binomial and Poisson distributions |
|
S1
|
q
Permutations and combinations |
q
Normal approximation to Binomial |
|
q
Conditional probability |
q
Construction of discrete probability distributions |
|
q
Calculation of Binomial probabilities |
S2
|
q
Calculation of Poisson probabilities |
q
Using probability density functions to find
probabilities and expected values |
|
q
Continuity corrections |
|
|
q
Linear combinations of random variables |
q
Hypothesis testing |
Programme
of study: Statistics
CCH: Tercer Grado de CCH (Upper 6th)
Breadth of Study
Elements from this mathematics programme support student learning
in: q Psychology q Administration q Science q ICT q Geography
Students will have the opportunity to develop
these skills through a variety of activities:
Curricular Links
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q
Classroom discussion |
q
Display and presentation work |
|
q
Directed investigation |
q
Teacher-led question and answer work |
|
q
Open-ended investigation |
q
Experiment and research |
|
q
Practical use and application |
q
Mathematical modeling |
|
q
Application of ICT |
q
Problem solving |
|
q
Individual, paired and group work |
q
Critical reflection |