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OCR GCSE Maths Frequency trees

Frequency trees

This page covers the following topics:

1. Recording data using trees
2. Describing data presented in trees
3. Analysing the frequency of outcomes from trees

A frequency tree can be used to record frequencies of outcomes and to calculate probabilities. The different branches of frequency trees state the frequency of outcomes.

Recording data using trees

Frequency trees can be used to interpret and describe trends using the results of an experiment.

Describing data presented in trees

The frequencies given on a frequency tree can be used to calculate the probability of outcomes.

Analysing the frequency of outcomes from trees

1

Given the frequency tree, calculate the missing values.

Given the frequency tree, calculate the missing values.

2

A frequency tree is given for 50 students. Calculate the probability that a student is sporty.

A frequency tree is given for 50 students. Calculate the probability that a student is sporty.

3

A group of twenty random students are asked if they walked or took the bus to school on a specific day and if they were late or not. The findings of the survey are given in the frequency tree. Interpret the results.

A group of twenty random students are asked if they walked or took the bus to school on a specific day and if they were late or not. The findings of the survey are given in the frequency tree. Interpret the results.

4

A group of 15 Drama and 20 Literature students are asked whether they prefer movies or books. Calculate the probability that a student prefers movies.

A group of 15 Drama and 20 Literature students are asked whether they prefer movies or books. Calculate the probability that a student prefers movies.

5

Twenty students are asked whether they have siblings or not and if they ever get bored at home. A frequency tree is given to represent this data. Calculate the probability that a student with siblings gets bored at home.

Twenty students are asked whether they have siblings or not and if they ever get bored at home. A frequency tree is given to represent this data. Calculate the probability that a student with siblings gets bored at home.

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