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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
S5-4S4-4
New NZC (2026)
NZC26-P4-PRO-ETP-K-Y9-04
Resources
- CorbettMaths on Frequency TreesQuestions PDF · Answers
Terminology
- Frequency tree
- Frequency
- Branch
- Stage
- Total
- Proportion
- Probability
Task goals
- Read a frequency tree and identify what the grand total, a first-stage branch, and a second-stage (leaf) branch each represent.
- Find a missing frequency on a frequency tree by subtracting the known branch(es) from the relevant stage total.
- Convert a frequency to a probability or proportion by dividing by the grand total (an unconditional probability) or by a single branch's total (a conditional proportion, e.g. "of those who...").
- Compare proportions across two different branches of the same tree to judge which group is more/less likely to have a given outcome.
- Explain the difference between a frequency tree (counts at the nodes) and a probability tree (probabilities along the branches, summing to 1 at each split).
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
You are here
Frequency trees
Know
Lists, tables, two-way tables, and tree diagrams are useful systematic methods for generating all possible outcomes.
Statement▸
Year 9 · Probability · Experimental and theoretical probability
NZC26-P4-PRO-ETP-K-Y9-04
Next
The official curriculum has no separate Year 10 statements for Probability — Year 9 Probability spans the phase. Try the Statistics strand’s Year 10 statements. Or extend with: Hamiltonian Circuits and Paths in Networks.
Also under S5-4:
Also under S4-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.