# Assessment Specifications

Level 3 Mathematics and Statistics 2023
(Statistics)

## General information

#### Method of assessment

Written examination

## Information relating to all achievement standards

All questions will provide opportunity for candidates to demonstrate all levels of performance: Achievement, Achievement with Merit, and Achievement with Excellence.

Correct answers only may not be sufficient for showing evidence of the level of thinking required by the standard.

Unless a method is specified within a question, candidates may choose their method when solving a problem, although the grade awarded may be affected by the level of thinking applied in solving the problem. Guess-and-check methods are unlikely to show the required thinking.

#### Equipment

Candidates must bring an approved calculator (preferably a graphing calculator).

#### Resources or information provided

A Formulae and Tables Booklet will be provided.

#### Content / context details

Solutions for problems may also require knowledge up to and including Statistics Curriculum Level 7.

Questions will be set in real-life contexts.

Questions may require candidates to interpret their solutions in context.

Candidates will be required to demonstrate an understanding of the statistical concepts.

Minor errors will not be penalised. Rounding in context may be required.

Sensible rounding is expected. Early rounding may be penalised.

## Specific information for individual achievement standards

91584

Statistics

#### Title

Evaluate statistically based reports

2

#### Number of credits

4

Candidates will need to answer questions about statistically based reports. The questions will require candidates to evaluate claims or conclusions made in the report. For example, this could involve:

• identifying and discussing potential sources of error associated with statistical studies
• calculating and interpreting margins of error
• considering study design and the type of inference.

Candidates should recall and use the “rules of thumb” based on
for margin of error.

Candidates will be provided with a resource booklet and a question-and-answer booklet.

Reports will be set in real-life contexts.

91585

Probability

#### Title

Apply probability concepts in solving problems

2

#### Number of credits

4

Probabilities may be expected to be calculated from formulae, a probability distribution table or graph, tables of counts or proportions, simulation results, or from written information. Candidates should clearly show the method they have used to calculate probabilities and state assumptions made.

91586

Probability

#### Title

Apply probability distributions in solving problems

2

#### Number of credits

4

Candidates should clearly identify the probability distribution applied in solving the problem and state assumptions made.

Probabilities may be expected to be calculated from distributions presented as formulae, tables or graphs of data, simulation results, or written information.

Candidates will need to be familiar with the normal, Poisson, binomial, uniform, and triangular distributions.

Candidates may be expected to calculate or estimate the mean and standard deviation of a random variable.

Mathematics and Statistics subject page

Examination timetable