My reading of it is the rate is constant but constant? From the link, I'm guessing they meant to suggest the rate vs. time graph was roughly normal (Gaussian).Preliminary indications are that the meteor stream is quite stable in time but variable in meteor abundance.
Second, the caption (and in fact the NASA press release) incorrectly states that the tail of NASA-Dryden's DC-8 is visible in the picture. In fact, the observations were conducted from a Gulfstream V business jet on loan from Google, not NASA's DC-8, which I don't believe had the range needed. Additionally, that is not the tail, but the angled up winglet on the very end of the wing. The above link also has a photo of this aircraft.
http://antwrp.gsfc.nasa.gov/apod/ap080107.html