Transum Software

Box Plots

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

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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 5 minutes, the maximum is 26 minutes, the median time is 17 minutes, the lower quartile is 10 minutes and the upper quartile is 25 minutes. Correct Wrong
2. The following is a list of times in minutes spent on social media by members of a chess team.
58, 30, 81, 39, 70, 44, 65.
Drag the circles to create a box plot representing this data on the grid above.
Correct Wrong
3. The following is a list of the lengths in metres of a tortoise's daily walks.
81, 44, 40, 38, 92, 101, 37, 50, 66, 100, 86.
Drag the circles to create a box plot representing this data on the grid above.
Correct Wrong
4. The following is a list of the number of times 15 people checked their email accounts in one day.
32, 17, 38, 37, 40, 36, 6, 27, 30, 16, 43, 36, 22, 37, 47.
Drag the circles to create a box plot representing this data on the grid above.
Correct Wrong
5. The following stem and leaf diagram shows the number of times 19 people said 'Happy New Year' on 1st January 2024.
10 1 2 4 5 7
22 5 7 7
30 3 3 7 8 9
41 1 5
Drag the circles to create a box plot representing this data on the grid above.
Correct Wrong
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.
27
34 7 7 8 8 8 8 9
44
50 2 7
62 8 8 9
76
82
90 3 5 5
Drag the circles to create a box plot representing this data on the grid above.
Correct Wrong
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
221
231
241
250
261
274
280
294
301
313
320
332
345
353
Drag the circles to create a box plot representing this data on the grid above.
Correct Wrong
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
522
532
540
552
565
577
583
597
603
6113
628
636
646
652
667
672
681
690
702
710
720
730
740
751
Drag the circles to create a box plot representing this data on the grid above.
Correct Wrong
9. The lengths (running time) of some instructional videos are shown in the cumulative frequency diagram. The shortest video lasted only three minutes.Cumulative Frequency GraphDrag 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. Correct Wrong
10. The following cumulative frequency graph shows the length of time in minutes, visitors watched an octopus swimming around a tank at an aquarium.Cumulative Frequency GraphDrag 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. Correct Wrong
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.

Why am I learning this?

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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."."

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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.

Graphic Display Calculator - Here are instructions for drawing two box plots, one above the other on a GDC so that two data sets can be compared.

Reaction Times generate your own data by recognising odd and even numbers. Produce two box plots (one for even numbers and the other for odd numbers) on the same scale so that they can be compared.

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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Example

Fact worth knowing: If a value is more that 1.5 × IQR above the upper quartile or below the lower quartile it is considered to be an outlier.

If you are using a TI-Nspire CX calculator did you know that it can draw a box plot for you? See GDC Essentials.

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

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