Students use the Box Plot interactive, which allows them to create line plots and see the corresponding box plots. They use this tool to create data sets with box plots that satisfy given criteria.
Students investigate how the box plot changes as the data points in the line plot are moved. Students can manipulate data points to change aspects of the box plot and to see how the line plot changes. Students create box plots that fit certain criteria.
This lesson focuses on the connection between a data set and its box plot. It reinforces the idea that a box plot shows the spread of a data set, but not the individual data points.
Students will observe the following similarities and differences between line plots and box plots:
- Line plots allow us to see and count individual values, while box plots do not.
- Line plots allow us to find the mean and the mode of a set of data, while box plots do not.
- Box plots are useful for very large data sets, while line plots are not.
- Box plots give us a better picture of how the values in a data set are distributed than line plots do, and they allow us to see measures of spread easily.
Goals and Learning Objectives
- Experiment with different line plots to see the effect on the corresponding box plots.
- Create data sets with box plots that satisfy different criteria.
- Compare and contrast line plots and box plots.