This time, there won't be one remaining noodle in the middle -- there will be two! If you remove this middle pair, you'll have no noodles left.
Therefore, you'll need to draw a line midway between the two remaining noodles to play the role of the median. The length of this line should be halfway between the lengths of the two middle noodles:
Move the middle pair aside, and you can see your new median:
Notice that this median still divides the set of noodles into two groups of the same size -- the six noodles shorter than the median and the six noodles longer than the median:
The major difference is that, this time, the median is not one of the original noodles; it was computed to divide the set into two equal parts.
Note: It is a common mistake to include this median in your data set when you've added it in this way. This median, however, is not part of your data set.