What is the difference between the Median Trace and Median Run smoothing?

Median Trace

Immediately below, one can see an example of the Median Trace.   The raw data (symbolized as letters) is plotted on a time series.   Data smoothing is completed vertically.   That is the median is calculated by identifying the center number for each point in time.

Median Run

Immediately below, one can see an example of the Median Run.  The raw data (symbolized as letters) is plotted on a time series.   Data smoothing is completed horizontally.  The median is calculated by selecting the center number among three consecutive data points.   For the first set of data points, a, b and c, c is the median.  We point c on our smoothed chart.   For the second set of data points, b, c and d, d is the median (b = d), so it is plotted.  When we complete the smoothed chart, we immediately notice that we lose some data.