## 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, 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:

- mutual exclusivity, independence, tree diagrams, venn diagrams

### 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