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# Achievement Standard 2.12 Achievement Objectives

### Excellence

Apply Probability methods in solving problems:

Relational thinking involves one or more of:

Extended abstract thinking involves one or more of:

- Selecting and using methods demonstrating knowledge of probability concepts and terms
- Communicating using appropriate representations.

- Selecting and carrying out a logical sequence of steps
- Connecting different concepts or representations
- Demonstrating understanding of concepts

and also relating findings to a context or communicating thinking using appropriate statements.

- Devising a strategy to investigate or solve a problem
- Identifying relevant concepts in context
- Developing a chain of logical reasoning
- Making a statistical generalisation

and also where appropriate, using contextual knowledge to reflect on the answer.

Evaluate statistically based reports - interpreting risk and relative risk

Investigate situations that involve elements of chance
- Comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions.

- Calculating probabilities, using such tools such as two-way tables, tree diagrams

Methods include a selection from those related to:
- Risk and relative risk
- Normal distribution
- Experimental distributions
- Relative frequencies
- Two-way tables
- Probability trees.