Given that Peak Oil took place or is about to take place now and given that petroleum consumption was negligible before 1912 we can say that (roughly) one sigma is 33 years wide on the curve.
Therefore we get:
Four Sigma's out 1879-1912 0.1% of all petroleum consumption, which is about as negligible as you can get and still have a reading. Petroleum consumption was almost exclusively for lighting (kerosene and gas lamps) with lubrication playing a distant second place role.
Three Sigma's out 1912-1945 2.1% of all petroleum consumption, which takes us right through World War Two with all its massive navy/air force/army equipment burning oil left and right and blowing up refineries and so on and so forth.
Two Sigma's out we have 1945-1978 13.6% of all petroleum consumption leading us through USA Peak production and into the Iranian period of unrest. Integrated circuits and the Space Exploration period began here.
One Sigma out 1978-2011 34.1% of all petroleum consumption leading to truly massive growth of the human population. In 1980 world population was just over 4.5 Billion, this year we passed 7 Billion. The Green Revolution of petrochemical pesticides and massive doses of fertilizer made this huge growth possible as well as technological growth into everything from cyberknife cancer treatments to iPad's in millions of homes.
During all of these periods things were always improving for the average human somewhere on Earth. Can we continue to better our existence into the future?
The next Sigma, 2011-2044 will determine if Humanity finds a way to keep a high tech civilization through power source switching, or if we fall all the way back to animal power Agriculture until someone reinvents growth through energy consumption.