#### Answer

The median of the data measured by the technician is $7.0036$ mm.

#### Work Step by Step

$7.0036$mm, $7.0035$mm, $7.0038$mm, $7.0035$mm, $7.0036$mm
Arranging the data in the ascending order:
$7.0035$mm, $7.0035$mm, $7.0036$mm, $7.0036$mm, $7.0038$mm.
The number of measured values is$5$.
Thus, the middle observation in the arranged order is the 3rd one, which is $7.0036$mm.
Thus, the median of the data measured by the technician is $7.0036$ mm.