# Assessment Specifications

Level 3 Mathematics and Statistics 2018
(Statistics)

General information

#### Mode of Assessment

Written Examination

#### Format for the assessment (Statistics)

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 to bring

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 may require candidates to interpret their solutions in context.

#### Special notes

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

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

## Specific information for individual external achievement standards

91584

Statistics

#### Title

Evaluate statistically based reports

2

4

#### Further clarification of the achievement standard

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 will not be provided with formulae for margin of error. Candidates should recall and use the “rules of thumb” based on

#### Resources or information provided

Candidates will be provided with a Resource Booklet and a Question and Answer booklet.

#### Content/context details

Reports will be set in real-life contexts.

91585

Probability

#### Title

Apply probability concepts in solving problems

2

4

#### Further clarification of the achievement standard

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.

#### Content/context details

Questions will be set in real-life contexts.

Candidates may be required to interpret solutions in context.

Sensible rounding is expected. Early rounding may be penalised.

91586

Probability

#### Title

Apply probability distributions in solving problems

2

4

#### Further clarification of the achievement standard

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.

#### Content/context details

Questions will be set in real-life contexts.

Candidates may be required to interpret solutions in context.

Sensible rounding is expected. Early rounding may be penalised.

 Mathematics and Statistics subject page 2018 Examination timetable