box and whisker diagrams. a box and whisker diagram 2 click on the loudspeaker symbol in the title...

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Box and whisker diagrams

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Page 1: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

Box and whisker diagrams

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

A box and whisker diagram

2

Click on the loudspeaker symbol in the title box of this slide to hear the commentary..

Page 3: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Page 4: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

30 120

A set of test results in a box and whisker diagram

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856040

Click on the loudspeaker symbol in the title box of this slide to hear the commentary.

Page 5: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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).(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).

Page 6: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

Video 01…….0.28 – 1.27

Click on the image below to play the video

Page 7: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

30 120

A set of test results in a box and whisker diagram: some initial questions

8

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

Click on the image below to play the video

Page 10: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

Question on range of data:

A box and whisker plot appears below.

Work out the range of the data shown below:

Page 11: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

Click on the image below to play the video

Page 12: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Click on the image below to play the video

Page 14: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Click on the image below to play the video

Page 16: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Click on the image below to play the video

Page 18: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Click on the image below to play the video

Page 20: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Click on the image below to play the video

Page 22: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Click on the image below to play the video

Page 24: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Click on the image below to play the video

Page 26: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Click on the image below to play the video

Page 28: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Thank you

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

Page 31: Box and whisker diagrams. A box and whisker diagram 2 Click on the loudspeaker symbol in the title box of this slide to hear the commentary

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

Good luck!

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