box and whisker
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![Page 1: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/1.jpg)
Box and whisker diagrams
![Page 2: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/2.jpg)
A box and whisker diagram
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![Page 3: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/3.jpg)
A box and whisker diagram
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25% of data 25% of data 25% of data 25% of data
![Page 4: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/4.jpg)
30 120
A set of test results in a box and whisker diagram
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856040
![Page 5: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/5.jpg)
The terminology!
5
upper quartile
medianlowerquartil
e
lower extrem
e
upper extrem
e
The five points on a box and whisker plot gives you the upper & lower extreme values (numbers) of the data (the range or spread of the data), the upper & lower quartiles (the interquartile range or spread of the middle 50% of the data) and the median (centre point of the data).
![Page 6: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/6.jpg)
30 120
Quick ‘recap’ questions:
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856040
1. What is the range of the test data?2. Give the median mark for the test.3. What is the interquartile range of the marks?Answers on next slide.
![Page 7: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/7.jpg)
30 120
A set of test results in a box and whisker diagram: some initial questions
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856040
1. What is the range of the test data? Ans: 120 – 30 = 90
2. Give the median mark for the test. Ans: 603. What is the interquartile range of the marks?.
Ans: 85 - 40 = 45 (the range of the middle 50% of the class.)
![Page 8: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/8.jpg)
Question on range of data:
A box and whisker plot appears below.
Work out the range of the data shown below:
![Page 9: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/9.jpg)
Answer:
A box and whisker plot appears below.
The range of the data is:
Answer: 83
(Not 17-100 although that is a common mistake.
The range is a single number so taking the highest value, subtract the lowest value. In this case 100 – 17 = 83.)
![Page 10: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/10.jpg)
A box & whisker question: median
The box & whisker chart opposite shows absence data for five year groups in term one.
Which year group had the smallest median number of absences?
Absence data for term 1
Num
ber
of
abse
nce
s
![Page 11: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/11.jpg)
Answer:
The box & whisker chart opposite shows absence data for five year groups in term 1.
Which year group had the smallest median number of absences?
![Page 12: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/12.jpg)
A box & whisker question on range:
The box & whisker chart opposite shows attendance data for five year groups in term one.
Which year group had the smallest interquartile range of absences?
Absence data for term 1
Num
ber
of
abse
nce
s
![Page 13: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/13.jpg)
Answer:
The box & whisker chart opposite shows attendance data for five year groups in term one.
Which year group had the smallest interquartile range of absences?
![Page 14: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/14.jpg)
Another box & whisker question:
The box & whisker chart opposite shows attendance data for five year groups in term one.
Which year group had half of its members recording 6 or more absences?
Absence data for term 1
Num
ber
of
abse
nce
s
![Page 15: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/15.jpg)
Answer:
The box & whisker chart opposite shows attendance data for five year groups in term one.
Which year group had half of its members recording 6 or more absences?
![Page 16: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/16.jpg)
Another box & whisker question:
The box & whisker chart opposite shows attendance data for five year groups in term one.
Which year group had over three quarters of its members recording 6 or more absences?
Absence data for term 1
Num
ber
of
abse
nce
s
![Page 17: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/17.jpg)
Answer:
The box & whisker chart opposite shows attendance data for five year groups in term one.
Which year group had over three quarters of its members recording 6 or more absences?
![Page 18: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/18.jpg)
http://www.bbc.co.uk/schools/gcsebitesize/maths/statistics/representingdata3hirev6.shtml
http://www.education.gov.uk/schools/careers/traininganddevelopment/professional/b00211213/numeracy/areas/box-and-whiskers
https://www.khanacademy.org/math/probability/descriptive-statistics/Box-and-whisker%20plots/v/reading-box-and-whisker-plots
http://www.youtube.com/watch?v=QXp596gfG3c
Need things explained again?
![Page 19: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/19.jpg)
http://www.brainingcamp.com/resources/math/box-plots/questions.php
http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPI-Topic/IntegratedAlgebra/Statistics_and_Probability/A.S.6.BoxandWhiskerPlots1.pdf
http://studentzone.roehampton.ac.uk/howtostudy/onlinemathsmaterials/downloadableworksheets/tdamaths/bw&cumulative.pdf
Box and Whisker worksheet – Word document to download
Want to practise?
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![Page 20: Box and whisker](https://reader033.vdocuments.site/reader033/viewer/2022051013/54924a15ac7959342e8b45ae/html5/thumbnails/20.jpg)
You can suggest additional resources by adding a comment below our numeracy
blog post.
Good luck! 20