This is a tutorial to explore the relationship between a data set and the properties of the corresponding boxplot.
Interactive Tutorial Using Java Applet
1 - Click on the button above to start the applet.
2 - When the applet is first started, a boxplot of 19 data values, uniformly distributed, is displayed. Data values are displayed on a number line. Why are the box widths and the whiskers all equal?
3 - Press and drag data items (blue dots) to change their values and see how the properties of the boxplot change.
4 - Press and drag data items so that most of these data items have values close to the median. Describe how the box widths and whiskers change.
5 - Press and drag data items so that they have values further away from the median. Describe how the box widths and whiskers change.
6 - Explore any relationship between the box widths, whiskers and the mean, median and standard deviation displayed at the top left of the applet.
More on statistics tutorials.