Is a chart complicated? Often marketers (usually not skilled in statistics or mathematics) shy away from pushing beyond simple bar charts saying 'people don't like complicated charts'. But with good design people love complicated charts - so long as the data density makes sense.
This post from Lifehacker explains why a data driven Chemical Brothers music video worked - allowing viewers to understand or connect with the music better.
But there are other examples: the charts presented with the average cricket game are far more complicated than the charts typically present by, say, Time Magazine.