Answer: Median = 46
The data given results in this list
{23,27, 32,32,36,36, 46,49, 51,55,58,59, 63}
The middle most value is 46 since there are 6 items below it {23,27,32,32,36,36} and 6 items above it {49,51,55,58,59,63}.
It might help to cross off the outer values and work your way in so you can spot the middle value easier.