I would not have had a higher average from going through the red lights.
[I hope we've moved away from name calling, preaching, and urges to convince others of our righteousness.... That's aimed as much at me as anyone else]
Getting some facts out is interesting and has a purpose though?.....
The average speed thing is often quoted but always wrong. It's obviously quicker to jump lights. You've only got to run some numbers. Using my example of 10 out of 19 not adhered to, with an arbitrary speed added;
15 Miles in 1 Hour = 15mph average speed
Average red light wait = 60 seconds
10 x 60 seconds = 10 minutes
15 Miles in 1hr 10Mins = 12.85mph average
Average red light wait = 30 seconds
10 x 30 seconds = 5 minutes
15 Miles in 1hr 5Mins = 13.84mph average
Unless of course you're talking about moving average speed, which obviously wouldn't be affected, but is irrelevant.
I took the day off as I'm away on the bike this weekend, but I'll have a crack in both directions on Monday, waiting at every light, to see how much time it adds. I reckon it will add 10-15 minutes to my commute.