Runnergirl appears to be a mid-level collegiate runner or possibly a top-tier high school runner, as she should be running somewhere around 17:15-17:40. How am I so confident about this? This is a page out of my own training log, and I am a low-to-mid-17 runner. (I'm a 37 year-old male, so my best years are behind me!) She's probably a high-16/low-17 runner on the track.
To look at this with a little bit of math, let's add up the last 6x800m, because she was doing "cut-down" intervals, and thus, they are her fastest:
2:52 + 2:50 + 2:48 + 2:47 + 2:44 + 2:39 = 16:40
Now, let's add half of a second to each interval, to factor in the addition of the hundredths of a second to each interval. Half a second is the average. (For example, unless she's already rounding up/down, her 2:52 might be more precisely a 2:52.42, and her 2:50 might be more precisely a 2:50.88.) I do this because it adds 3 seconds to her time. 6 x 0.5sec = 3 seconds.
So this will be a 16:43 for 4800m (6x800m).
Then, let's factor in the last 200m, to make this 5000m. Based on her pace, she appears to run 200m comfortably at about 0:42. Her cumulative 5000m time, therefore, will be:
16:43 (4800m) + 0:42 (200m) = 17:25 (5000m)
Although this is anecdotal, I have found that the cumulative time of my "race-pace" intervals over 5000m matches pretty closely to my race pace for a 5k whenever I do 800m or 1000m repeats. (If I run 400m or 600m repeats, the cumulative time will be faster than 5k pace, whereas if I run 1200m or 1600m, the cumulative time will be slower than 5k pace, and so the 800m -1000m range is the "sweet spot" for predicting 5k pace.)
I would also factor in that she did an additional 3x800m to begin her workout, but I think they were done at a slow enough rate to not factor significantly. Perhaps with the addition of these 3 intervals, let's take away 5 seconds, and that would put her about 17:20. Of course, so much actually factors into a time, especially on the road, where terrain/elevation change can skew a race, and not to mention weather.
Good luck, runnergirl3.1! I hope this helped.