Here's the session utilisation chart (about) for qualification, offering a macroscopic view over all three sessions in a single chart.
Here's a scatterplot of all the lap times recorded in the session, by driver number, filtered to laptimes between 84 and 104 seconds.
For this to be meaningful, I think need to drop the Pitting laps, and group the laps for a driver, using colour or symbol shape, by stint? Or does anyone have other suggestions?
I'm not showing the boxplot - I don't think it's meaningful unless i can find a sensible way of segmenting/filtering the data. In the meantime, maybe a violin plot would work as a stopgap?