That is not correct. The standard deviation varies with the square root of the trading period. So if 12 months gives you 30% then 2 months is about (30x 30=900/6=150 SQRT = 12,25%)
Then I have to add, that 78 Dollars a Barrel certainly isn´t the mean.
Thanks for the correction. I got confused because volatility when defined as the square of standard deviation is in fact proportional to time, and sometimes traders use the term 'volatility' when they are talking about the SD. Looks like Khebab did the calculation carefully below and got a more reasonable answer.
It is such a pleasure to be part of a civilized debate. I learn a lot here at the oil drum.