You see where I'm going here? As soon as a month is half-finished, we know what the lowest possible median can be ($1628.60 this month), and we know what the lowest possible maximum can be ($1674.25 this month), so we should be able to predict a floor to the monthly price with great accuracy and precision.
Actually a multiple regression works a little better, though it's not strightforward to depict it graphically. But I don't have to. Anytime a month's end approaches, just plug into the following equation and chug (your drink of choice):
MINIMUM = e^[0.021 + 1.325*ln(MEDIAN) - 0.332*ln(MAXIMUM)]
You want a confidence interval? And keep in mind that unlike in previous regression posts, here we're not dealing with a time series, strictly speaking, since all axes are prices -- so confidence intervals are more legitimate. (In other words, though price direction is correlated from month to month, the relative distance between monthly maximum, minimum, and median is not.)
After removing a few outliers (and why not - if e.g. a Lehman collapses again, no model based on past performance means anything anyway), the lower bound of the 99% confidence interval for this month's minimum price is $1560. So gold should not make a new low this month. You heard it here first.