Determine quartiles and interquartile range and investigate the effect of individual data values, including outliers on the interquartile range (VCMSP349)
Construct and interpret box plots and use them to compare data sets (VCMSP350)
Compare shapes of box plots to corresponding histograms and dot plots and discuss the distribution of data (VCMSP351)
LO: To determine quartiles and interquartile range of a data set and use them to construct and compare boxandwhisker plots.
Know:

How to create a box and whisker plot from a given data set.

How to identify the fivenumber summary (minimum/maximum values, median and lower/upper quartiles) from a data set.

How to place values on a number line.
Understand:

that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets.
Do:

I can construct and interpret box plots and use them to compare different data sets.

I can compare shapes of box plots to corresponding histograms and dot plots.
Elaborations

finding the fivenumber summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the box plot, as tools for both numerically and visually comparing the centre and spread of data sets

exploring the effect of varying data values, including outliers, on the interquartile range for different sets of data

using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

investigating data in different ways to make comparisons and draw conclusions

using a dot plot, boxplot or histogram to construct a cumulative frequency distribution for a set of data
Visual Representations
Box and Whisker plots are an easy way of organizing data. It shows our mininmum/maximum values as well as median of our data.
They also split the data set into four equal parts which are called quartiles.
The lower quartile splits the first and second quartiles of the data set, while the upper quartile splits the data set from the third and fourth quartile.
Teaching Notes
Creating Box and Whisker Plots Step by Step Process

Organize your data in ascending order (smallest to biggest)

Find the min/max values

Find the median (middle number) of the data

Find the median value of Quarter 1

Find the median value of Quarter 3

Draw your lines with min/max values

Add in Q1 and Q3 values and draw box around the two values

Add in your median value and draw a line to split the box.