This the first power spectrum taken with the phase 1 configuration of ADMX when cold. It shows the
power in the cavity over a small frequency range. Most of the shape is due to the bandpass filter.
The peak in the center is a test signal injected into the cavity.
These recent results indicate where we've looked for Axions and not found them. Since they're plots of Dark Matter Density versus Axion mass, the way to interpret the this plot is:
"We are 90% confident that the density of KSVZ Axions with masses between 1.9 and 2.5 GeV must be less than 0.5 GeV/cm^3. Since the expected density of Dark Matter near the solar system is around 0.5 GeV/cm^3, we are 90% confident that dark matter is not made of Axions with masses between 1.9 and 2.5 GeV. Other Axion masses are still possible."

However, this statement comes with a few caveats. That is, we're 90% confident of this, with the assumptions that:
If some of these assumptions are wrong, it may change parts of our claim. For example, if the earth is in a particularly low density patch of dark matter, or if only half of dark matter is axions, we can still claim: "We are 90% confident that the density of KSVZ Axions with masses between 1.9 and 2.5 GeV must be less than 0.5 GeV/cm^3.", but we can no longer claim "we are 90% confident that dark matter is not made of Axions with masses between 1.9 and 2.5 GeV."
The high resolution plot has a similar interpretation, except the numbers are a little different, and there is an extra assumption that the axions are quite cold.

In the end, we'd like to be able to claim either:
"We are 90% confident that the density of axions with mass X micro-eV is
Y GeV/cm^3, and therefore it seems that Z% of dark matter is made out of
Axions"
-OR-
"We are 90% confident that the density of KSVZ or DFSZ axions of nearly
any thermal distribution is below 0.045 GeV/cm^3 for all theoretically
allowed axions masses (from about 1 micro-eV to 1 milli-eV). Because
the expected dark matter density near earth is around 0.5 GeV/cm^3, we
are confident that even if Axions exist, they do make up a significant
amount of dark matter (less than 1%), and another explanation for Dark
Matter must be sought"
At this point, we can stop doing our experiment and move on to either
learning more properties of the axion, or looking for some other
explanation of dark matter.