Embedded Files
Introduction
Introduction
In this lesson you will:
build on your understanding of the interquartile range (IQR)
represent IQR data using box plots
be introduced to data classified as outliers.
Activity 1 - Introduction to Five Number Summary and Box Plots
Activity 1 - Introduction to Five Number Summary and Box Plots
In today’s lesson, we are going to build on the interquartile range calculations to make a summary of 5 numbers.
These 5 numbers will assist us to represent the data we are analysing in a more meaningful and visual way with a box plot.
Task 1
Task 1
Watch this introductory video on the five-number summary and box plots.
The Five Number Summary, Boxplots, and Outliers (1.6)
Duration: 5:36
Task 2
Task 2
Complete the following task in your exercise book or folder. Remember to show your working.
Calculate the five number summary and create box plots for each data set below:
Set A: 2, 5, 6, 8, 10, 11, 15, 15,16, 17, 20, 25
Set B: 3, 6, 8, 9, 9, 11, 15, 16, 17, 18, 20, 23, 25
Set C: 4, 6, 1, 5, 11, 21, 25, 17, 20, 15, 19, 2
You can use a blank piece of paper; graph paper or create a digital construction in Desmos.
Hint: Start and end the horizontal scale of your box plot with the minimum and maximum numbers of the data set.
Want to use Desmos but not sure how?
Want to use Desmos but not sure how?
Watch the video Creating a Boxplot on Desmos via YouTube.
Then go to the Desmos Calculator to create and save your boxplots.
Finally, either share the link with your teacher or take a screen shot to show them your work.
Task 3
Task 3
You also need to be able to read the data from graphs of box plots. Write down the five-number summary from these box plots.
Click on the button to the right to open a new tab and view the Google Doc activity sheet.
Click on the Use Template button to create a copy for you to edit.
Activity 2 - Outliers
Activity 2 - Outliers
Task 1
Task 1
Read the following page on Outliers from the Maths is Fun website.
Task 2
Task 2
Investigate the effects of outliers with the Long Jumper activity on Desmos by clciking on the image to open the interactive in a new tab.
Note: Carefully read the instructions on the left hand side of the page. When the instructions tells you to press play on the slider you need to click on the play arrow next to the slider.
Where to click to turn on a slider in Desmos
Task 3
Task 3
Further check your understanding by completing the following 10 questions from this Outliers quiz from the Mathopolis website (embedded below).
Activities too easy?
Activities too easy?
Complete the Less, same, more box plots activity by creating box plots with a median and interquartile range that are less than, the same as or more than the box plot in the middle of the table.
Click on the button to open the activity and then use the template button to create a copy of the Google Draw.
Select the different coloured box plots, drag them to the appropriate cell and then select the bits to make them the right size.
Note: If Google Draw is not working or this is too difficult on your device, copy the table into your exercise book or folder and complete the activity by hand.
Handing in your work
Handing in your work
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.
Student reflection
Student reflection
Show how you feel about today's learning.
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