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Box and whisker diagrams

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A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary..

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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

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30 120 A set of test results in a box and whisker diagram 4 85 6040 Click on the loudspeaker symbol in the title box of this slide to hear the commentary.

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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).

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Video 01…….0.28 – 1.27 Click on the image below to play the video

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30 120 Quick recap questions: 7 85 6040 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.

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30 120 A set of test results in a box and whisker diagram: some initial questions 8 85 6040 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.)

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Click on the image below to play the video

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Question on range of data: A box and whisker plot appears below. Work out the range of the data shown below:

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Click on the image below to play the video

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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.)

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Click on the image below to play the video

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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 Number of absences

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Click on the image below to play the video

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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?

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Click on the image below to play the video

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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 Number of absences

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Click on the image below to play the video

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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?

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Click on the image below to play the video

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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 Number of absences

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Click on the image below to play the video

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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?

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Click on the image below to play the video

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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 Number of absences

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Click on the image below to play the video

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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?

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Thank you For further sources of support and practice on box and whisker diagrams, look at the next slides.

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http://www.bbc.co.uk/schools/gcsebitesize/maths/statistics/representingda ta3hirev6.shtml http://www.education.gov.uk/schools/careers/traininganddevelopment/pr ofessional/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?

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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/download ableworksheets/tdamaths/bw&cumulative.pdf Box and Whisker worksheet – Word document to download Want to practise? 31

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Good luck! 32

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