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Box and whisker

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Support material on box and whisker diagrams produced as part of a pilot project to assist higher education tutors who are faced with demands, across all 4 nations of the UK, to improve the numeracy …

Support material on box and whisker diagrams produced as part of a pilot project to assist higher education tutors who are faced with demands, across all 4 nations of the UK, to improve the numeracy skills of all those studying in order to work with children and young people.

Published in: Education, Technology

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  • 1. Box and whisker diagrams
  • 2. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary. .
  • 3. A box and whisker diagram 3 Click on the loudspeaker symbol in the title box of this slide to hear the commentary. 25% of data 25% of data 25% of data 25% of data
  • 4. 30 120 A set of test results in a box and whisker diagram 4 856040 Click on the loudspeaker symbol in the title box of this slide to hear the commentary.
  • 5. The terminology! 5 upper quartile medianlower quartile lower extreme upper extreme 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). (Click on the loudspeaker symbol in the title box of this slide if you want to hear the commentary. Then listen to the recap on the next slide).
  • 6. 30 120 Quick ‘recap’ questions: 6 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.
  • 7. 30 120 A set of test results in a box and whisker diagram: some initial questions 7 856040 1. What is the range of the test data? Ans: 120 – 30 = 90 2. Give the median mark for the test. Ans: 60 3. What is the interquartile range of the marks?. Ans: 85 - 40 = 45 (the range of the middle 50% of the class.)
  • 8. Question on range of data: A box and whisker plot appears below. Work out the range of the data shown below:
  • 9. 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.)
  • 10. 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 Numberofabsences
  • 11. 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?
  • 12. 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 Numberofabsences
  • 13. 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?
  • 14. 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 Numberofabsences
  • 15. 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?
  • 16. 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 Numberofabsences
  • 17. 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?
  • 18. http://www.bbc.co.uk/schools/gcsebitesize/maths/statistics/representingdata3hire http://www.education.gov.uk/schools/careers/traininganddevelopment/profession https://www.khanacademy.org/math/probability/descriptive-statistics/Box-and-wh http://www.youtube.com/watch?v=QXp596gfG3c Need things explained again?
  • 19. 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/downloa dableworksheets/tdamaths/bw&cumulative.pdf Box and Whisker worksheet – Word document to download Want to practise? 19
  • 20. You can suggest additional resources by adding a comment below our numeracy blog post. Good luck! 20