Thicknesses at different point are: <span>41, 38, 36, 29, 34, 44, 46, 43, 35, 40
In increasing order: 29, 34, 35, 36, 38, 40, 41, 43, 44, 46
Median = (38+40)/2 = 39m</span>
Median thickness is 39m
I'm going to assume this reads

and the path
is parameterized by

with
. Under this parameterization,

and

Then in the integral,


(It's unlikely that an exact answer can be found in terms of elementary functions)
To answer this question, an assumption must be made, that Eva spends 8 hours a day working. If this is the case, then Eva will complete jobs w, x, and v on day one, for a total of six hours. Since the next job (y) requires 4 hours, she will spend two hours working that day, leaving 2 more hours to go on that job. The next day she will spend 2 hours finishing job y, completing it, and finish the longest job z (hours) that day. This means she had 4 jobs on day one, and 2 jobs on day 2 for and average of 3 jobs per day.
This answer assumes an 8 hour work day, and that Eva can start a job she cannot finish that day.