Statistics
The Statistics elements of both the AS-Level and A-Level in Mathematics consist of the following topic areas:
Statistical Sampling, Data Presentation & Interpretation, Probability, Statistical Distributions, and Statistical Hypothesis Testing.
Statistical Sampling in AS-Level Maths:
- use samples to make inferences about a populations, advantages and disadvantages of a sample/census; random, stratified, systematic, quota & opportunity sampling; understand, select and critique sampling methods
Statistical Sampling in A-Level Maths:
The above topics will be studied in more detail and the following additional topics will be covered:
- (no additional content)
Data Presentation & Interpretation in AS-Level Maths:
- histograms, frequency polygons, cumulative frequency diagrams, box plots
- scatter diagrams and correlation
- measures of central tendency and variation
- linear interpolation & coding
- outliers & missing data
Data Presentation & Interpretation in A-Level Maths:
The above topics will be studied in more detail and the following additional topics will be covered:
- (no additional content)
Probability in AS-Level Maths:
Probability in A-Level Maths:
The above topics will be studied in more detail and the following additional topics will be covered:
- conditional probability, two-way tables
- modelling
Statistical Distributions in AS-Level Maths:
- discrete probability distributions including uniform and binomial
Statistical Distributions in A-Level Maths:
The above topics will be studied in more detail and the following additional topics will be covered:
- the normal distribution and approximations using a binomial distribution
- selecting appropriate distributions
Statistical Hypothesis Testing in AS-Level Maths:
- understand and use the terms null & alternate hypotheses, significance level, 1 & 2 tail testing, critical values & regions, p-values, etc.
- conduct and interpret hypothesis tests for the proportion in a binomial distribution
Statistical Hypothesis Testing in A-Level Maths:
The above topics will be studied in more detail and the following additional topics will be covered:
- conduct and interpret hypothesis test for the mean of a normal distribution with a known variance