Transum Software

Frequency Trees

Use a frequency tree to show two or more events and the number of times they occurred.

Frequency Trees Exam-Style Tree Diagrams Description Help Video More Probability

30 pupils from a class were asked if they owned a bicycle. There were 13 boys and 17 girls in the class. 6 boys and 14 girls owned bicycles. Show this information on this frequency tree.

Boys

Girls

Own bicycle

No bicycle

Own bicycle

No bicycle

Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong

28 people were asked which hot beverage they would prefer if they had to choose between tea and coffee. 15 men prefered tea and 1 men prefered coffee. 4 women prefered tea and 8 women prefered coffee. Show this information on this frequency tree.

Men

Women

Tea

Coffee

Tea

Coffee

Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong

In a hotel the rooms are either single or double. Of the 37 rooms that had a sea view, 21 of them were double. Of the 16 rooms that did not have a sea view, 14 of them were single. Show this information on the diagram.

Single

Double

Sea view

No sea view

Sea view

No sea view

Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong

The following two-way table shows the eating habits of the members of a large family

Age:Eat breakfastSkip Breakfast
18 or less16
Over 1865

Complete the following frequency tree to show this information.

18 or less

Over 18

Eat breakfast

Skip Breakfast

Eat breakfast

Skip Breakfast

Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong

228 cats and 83 dogs took part (with the help of their owners!) in a food preference survey. Twice as many cats preferred fish to meat and a total of 157 animals preferred fish. Complete the following diagram with this information.

Cats

Dogs

Meat

Fish

Meat

Fish

Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Correct Wrong
Check

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

Suko Sujiko

Suko Sujiko

Interactive number-based logic puzzles similar to those featuring in daily newspapers designed to develop numeracy skills. These puzzles are drag and drop and can earn you a Transum Trophy.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Apple

©1997-2024 WWW.TRANSUM.ORG

© Transum Mathematics 1997-2024
Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=729

Description of Levels

Close

Close

Level 1 - Completing a frequency tree from given information

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Tree Diagrams - Calculate the probability of combined events using tree diagrams.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Example

The video above is from Mr Duncan www.999maths.com.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

Close