Answer
47.865 cm
Work Step by Step
Write the list in sorted order and find the item(s) in the center of the list.
$4761\ cm, \underset\uparrow47.81\ cm, \underset\uparrow47.92 \ cm, 48.23\ cm$
Since this set contains an even number of items, find the mean of the 2 center items to determine the median.
$\frac{47.81+47.92}{2}=\frac{95.73}{2}=47.865$