I want to create a simple box plot from 1D data, which doesn't seem to be supported by the default Insert → Charts. There is a histogram gadget but I haven't seen any box plot gadgets.
Do I have to make my own gadget using Google Charts API?
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The closest thing to a Boxplot Chart is a Candlestick Chart.
You could calculate all the data needed to plot a box chart: The Five Number Summary and plot each serie individually. Apparently, the width of the box isn't important.
I've prepared an example file: Box Plot example (sample data).
In Google Apps Script, the box charts are un-supported.
I've created an example file for you: Box Plot