Examples of box plots

This activity illustrates the power of box plots to compare data sets.

Box plots can be displayed either vertically or horizontally.

Consider the total monthly rainfall and average monthly maximum temperature of Australia's eight capital cities over 56 years.

Discuss the ordering of the cities in the various plots.

Box plots showing rainfall for Australian capital cities, ordered top down from largest to smallest medians. Order is Sydney, Brisbane, Darwin, Perth, Canberra, Melbourne, Hobart and Adelaide.

Monthly rainfall for 56 years.

Box plots showing temperatures for Australian capital cities over 56 years, ordered top down from largest to smallest medians. Order is Darwin, Brisbane, Perth, Sydney, Adelaide, Melbourne, Canberra and Hobart.

Average monthly maximum temperature for 56 years.

Box plots showing rainfall for Australian capital cities, ordered top down from largest to smallest medians. Order is Darwin, Brisbane, Sydney, Canberra, Melbourne, Hobart, Adelaide and Perth.

January rainfall for 56 years.

Box plots showing rainfall for Australian capital cities, ordered top down from largest to smallest medians. Order is Perth, Sydney, Adelaide, Melbourne, Hobart, Canberra, Brisbane and Darwin.

July rainfall for 56 years.

The second plot transformed vertically and ordered from smallest to largest medians beginning at the left.

Average monthly maximum temperature for 56 years.

Discussion points for these plots can be found in Informal Inference with Box Plots: Teacher Notes. You can also look at Features of Box Plots and Interpreting Box Plots.


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Curriculum links

Year 10: Construct and interpret box plots and use them to compare data sets

ACMSP249

Source

Australian Curriculum, Assessment and Reporting Authority (ACARA)