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GCSE Mathematics · key term
A branching diagram that divides a total into groups and shows the number in each group.
Used by AQA, Edexcel and OCR
Specification P1 · Paper 1, Paper 2, Paper 3
A diagram that sorts a total into groups and subgroups, with numbers on its branches showing their frequencies.
Revise: Probability ExperimentsA frequency tree is useful when each result can be classified in more than one way. Start with the overall total, split it into groups, then split each group again. The numbers are frequencies, not probabilities.
Specification P1 · Paper 1, Paper 2, Paper 3
Revise: Frequency AnalysisA frequency tree shows the same kind of information as a sequence of splits. Start with the whole group. The first branches divide it into groups; later branches divide each of those groups again.
Specification 11.01b · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A branching diagram that records counts for groups of outcomes; the counts at each split add to the count before it.
Revise: Relative FrequencyA frequency tree shows how a total is divided into groups. For the same 40 spins, first separate blue from not blue. Then separate the not-blue spins into red and green.
Check that the frequencies in a table add to the total number of trials, and that the branches leaving each point of a frequency tree add to the number entering it.
In a frequency tree, subtract from the number at the preceding split to find a missing count.
Do not confuse a frequency tree, whose numbers are counts, with a probability tree, whose branches show probabilities.
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