# Box Plots

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

##### Level 1Level 2Level 3Exam-StyleDescriptionHelpMore Statistics

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 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 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 4. This box plot shows the number of marks earned by the boys in a class test. What was the lower quartile? marks 5. This box plot shows the number of marks earned by the girls in a class test. What was the upper quartile? marks 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 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 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. % 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? % 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? %
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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.

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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?

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#### Hi-Low Predict

A version of the Play Your Cards Right TV programme. Calculate the probabilities of cards being higher or lower than the one shown. a fun way to practise applying probability and using fractions.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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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.]"

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.

## 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.

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