Check whether a machine is packing most bags with an acceptable number of rice crisps (20–35 rice crisps per packet). Take a sample of 100 packets and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points to build a boxplot. Take more samples and plot the variation by building a sequence of boxplots on a graph. Identify conclusions supported by the evidence. Practice building more boxplots and checking more samples. This learning object is a combination of two objects in the same series.
Objective
1. Students identify the maximum, minimum, median, first and third quartiles from a set of data.
2. Students construct and interpret boxplots.
3. Students analyse sample variation by constructing and interpreting boxplots.