Box Plots

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.

	You are learning this because future ideas are built on previous ideas and the more ideas you learn the more power you have to learn anything, ever! The world's best football player engages in rigorous training, practicing skills repeatedly to prepare for the big game. While the specific actions rehearsed during these exercises are rarely needed in the match, the very process of performing these drills enhances their overall prowess as a top player. more...	More Activities: Maths Map Go Maths Games Puzzles Times Tables TablesMaster iPad Maths Investigations Exam Questions
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 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai: "It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages." Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College: "Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities. Thanks for such a great resource!"		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 Jugs The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed.	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!
Isabella, Wednesday, April 26, 2017 "The formula for finding the median is a on N items is (N+1)/2. Why is there a 'plus one' in that formula? [Transum: Good question Isabella. The answer is here.]" Madison Davis, ABSS Schools Tuesday, April 21, 2020 "Is there a way to share the box plot level 1 activity without the answer key showing up at the bottom? [Transum: Whoops, that's a glitch. I have corrected it now. Thanks for the information]" Rmacy, Rmacy Sunday, August 20, 2023 "In Question 10, the max should be the maximum number of minutes. However, when we calculate the quartiles, should they be from the cumulative frequency or the number of minutes? And if so, do we the highest frequency (54) or the highest frequency on the graph which is 60? Would appreciate your guidance! [Transum: Yes the highest frequency is 54 despite the fact that the vertical axis goes all the way to 60. Use the graph to find the quartiles. Good luck.]" Transum, Wednesday, October 25, 2023 "The International Baccalaureate Mathematics AA Syllabus states "Awareness that different methods for finding quartiles exist and therefore the values obtained using technology and by hand may differ."." 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.

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1. This box plot shows the number of minutes patients spent in a dentist's waiting room. What is the median time in minutes?	minutes

2. This box plot shows the number of minutes passengers spent in an airport departure lounge. What is the minimum number of minutes spent waiting in the lounge?	minutes

3. This box plot shows the time (in minutes) spent commuting to work by a group of office workers. What is the maximum commute time in minutes?	minutes

4. This box plot shows the number of marks earned by the boys in a class test. What was the lower quartile?	marks

5. This box plot shows the number of marks earned by the girls in a class test. What was the upper quartile?	marks

6. This box plot shows the number of minutes passengers spent in a station waiting room. What is the range of times spent in the waiting room?	minutes

7. This box plot shows the number of minutes passengers spent in a different station waiting room. What is the inter-quartile range of times spent in the waiting room?	minutes

8. This box plot shows the lengths of leaves (in centimetres) collected by a botanist. Express the minimum length as a percentage of the maximum length.	%

9. This box plot shows the length (in inches) of fish recorded in a very large database. What percentage of the fish were longer than 60 inches?	%

10. This box plot shows the length (in milimetres) of worms recorded in a very large database. What percentage of the worms were less than 91mm long?	%

Box Plots

An exercise on reading and drawing box-and-whisker diagrams which represent statistical data.

Level 1 Level 2 Level 3 Exam-Style Description Help More Statistics

Instructions

More Activities:

Featured Activity

Jugs

Answers

Go Maths

Maths Map

Teachers

Description of Levels

Example