Box PlotsAn exercise on reading and drawing boxandwhisker diagrams which represent statistical data. 
This is level 2: interpreting box plots You can earn a trophy if you get at least 7 questions correct.
InstructionsTry 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. 




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Medians  Find the medians of sets of different types of numbers.
Quartiles  Practise processing the sets of numbers to find the lower and upper quartiles.
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/Alevel 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.
For discrete distributions, there is no universal agreement on selecting the quartile values, but for the purpose of this exercise, we'll use the most popular method:
The interquartile range is the difference between the upper and lower quartiles:
IQR = Q_3  Q_1.
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 TINspire 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 doubleclick 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.
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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."."