# Box Plots

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

##### Level 1Level 2Level 3Exam-StyleDescriptionHelpMore Statistics

This is level 3: drawing box plots You can earn a trophy if you get at least 7 questions correct.

1. Drag the circles to create a box plot representing the number of minutes patients spent in a doctor's waiting room if the minimum waiting time is 7 minutes, the maximum is 28 minutes, the median time is 19 minutes, the lower quartile is 10 minutes and the upper quartile is 27 minutes.
2. The following is a list of times in minutes spent on social media by members of a chess team.
44, 30, 66, 33, 63, 38, 51.
Drag the circles to create a box plot representing this data on the grid above.
3. The following is a list of the lengths in metres of a tortoise's daily walks.
99, 37, 61, 40, 37, 64, 46, 52, 44, 71, 103.
Drag the circles to create a box plot representing this data on the grid above.
4. The following is a list of the number of times 15 people checked their email accounts in one day.
40, 6, 34, 26, 44, 14, 9, 20, 47, 24, 27, 16, 7, 27, 15.
Drag the circles to create a box plot representing this data on the grid above.
5. The following stem and leaf diagram shows the number of times 19 people said 'Happy New Year' on 1st January 2018.
1 5 7 0 0 0 1 2 5 6 9 0 1 2 3 6 8 2 4 5
Drag the circles to create a box plot representing this data on the grid above.
6. The following stem and leaf diagram shows the number of plastic bottles found in each of 23 bags of rubbish collected during a beach clean up operation.
2 5 0 0 2 5 8 0 7 7 7 8 0 5 6 6 6 1 5 5 5 9 1 5
Drag the circles to create a box plot representing this data on the grid above.
7. In Transum High School there are 27 classes. The following table show the number of students in those classes as a frequency table.
Class sizeFrequency
211
222
235
241
253
260
271
282
291
300
315
324
332
340
350
Drag the circles to create a box plot representing this data on the grid above.
8. The marks earned by 79 pupils in Year 11 of Transum High School in a mid-year exam are shown in the frequency table below.
MarkFrequency
521
531
542
552
562
575
585
596
605
617
623
633
646
654
665
674
684
695
701
712
722
731
741
752
Drag the circles to create a box plot representing this data on the grid above.
9. The lengths (running time) of some instructional videos are shown in the cumulative frequency diagram. The shortest video lasted only three minutes.Drag the circles to create a box plot representing this data on the grid above. The times used in your box plot should be rounded to the nearest minute.
10. The following cumulative frequency graph shows the length of time in minutes, visitors watched an octopus swimming around a tank at an aquarium.Drag the circles to create a box plot representing this data on the grid above. Take the minimum time to be zero minutes and the other times used in your box plot should be rounded to the nearest minute.
Check

This is Box Plots level 3. You can also try:
Level 1 Level 2

## 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.

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

## More Activities:

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 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales:

"I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!"

#### Vinculum

This activity comprises of five challenges each one requiring you to type in one more fraction than the previous challenge and each starting with a different fraction. The starting fractions are one tenth, one quarter, one third, one half and four sevenths.

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.

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## 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:

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.]"

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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## Description of Levels

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Level 1 - Labeling a box plot diagram

Level 2 - Interpreting box plots

Level 3 - Drawing box plots

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

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.

## Example

This video is from the wonderful Corbettmaths.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.

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