Transum Software

Box Plots

An exercise on reading and drawing box-and-whisker diagrams which represent statistical data.

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This is level 2: interpreting box plots You can earn a trophy if you get at least 7 questions correct.

1. This box plot shows the number of minutes patients spent in a dentist's waiting room. What is the median time in minutes? minutes Correct Wrong
2. This box plot shows the number of minutes passengers spent in an airport departure lounge. What is the minimum number of minutes spent waiting in the lounge? minutes Correct Wrong
3. This box plot shows the time (in minutes) spent commuting to work by a group of office workers. What is the maximum commute time in minutes? minutes Correct Wrong
4. This box plot shows the number of marks earned by the boys in a class test. What was the lower quartile? marks Correct Wrong
5. This box plot shows the number of marks earned by the girls in a class test. What was the upper quartile? marks Correct Wrong
6. This box plot shows the number of minutes passengers spent in a station waiting room. What is the range of times spent in the waiting room? minutes Correct Wrong
7. This box plot shows the number of minutes passengers spent in a different station waiting room. What is the inter-quartile range of times spent in the waiting room? minutes Correct Wrong
8. This box plot shows the lengths of leaves (in centimetres) collected by a botanist. Express the minimum length as a percentage of the maximum length. % Correct Wrong
9. This box plot shows the length (in inches) of fish recorded in a very large database. What percentage of the fish were longer than 60 inches? % Correct Wrong
10. This box plot shows the length (in milimetres) of worms recorded in a very large database. What percentage of the worms were less than 91mm long? % Correct Wrong
Check

This is Box Plots level 2. You can also try:
Level 1 Level 3

Instructions

Try 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.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

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Answers

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Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

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."."

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Description of Levels

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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/A-level 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.

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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Example

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 TI-Nspire 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 double-click 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.

Log in Sign up

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