Discrete 3D plots of median ratios of two 2D matrices of lists of values

Question

Lets say I have 2 2D arrays where each cell contains a list of values:

Example:

data_1[[1]][[1]] = {1,2,3} 
data_1[[1]][[2]] = {1,2,3} 
data_1[[2]][[1]] = {1,2,3} 
data_1[[1]][[2]] = {1,2,3} 

data_2[[1]][[1]] = {2,4,6} 
data_2[[1]][[2]] = {3,6,9} 
data_2[[2]][[1]] = {4,8,12} 
data_2[[2]][[2]] = {5,10,15} 

What's a neat way to make a discrete 3D plot of the ratio between medians of these data sets (assuming that the indices always mach, but can represent any value, not only consecutive natural numbers).For the following data I would expect a plot of:

x,y,z
1,1,2
1,2,3
2,1,4
2,2,5

Answer 1

 dt1 = Array[RandomReal[1, {3}] &, {5, 5}];
 dt2 = Array[RandomReal[1, {3}] &, {5, 5}];
 {med1, med2} = Map[Median, #, {2}] & /@ {dt1, dt2};
 medratios = med1/med2;
 Row[ListPlot3D[#, BoxRatios -> 1, ImageSize -> 300] & /@ {med1, med2,  medratios},
 Spacer[5]

Update: per op's request in the comments, here is a version that generates data of the form {{x,y,{z1,z2,z3}}...:

 dt1xyz = Array[{10 #1, 100 #2, RandomReal[1, {3}]} &, {5, 5}];
 dt2xyz = Array[{10 #1, 100 #2, RandomReal[1, {3}]} &, {5, 5}];
 med1xyz = dt1xyz;
 med1xyz[[All, All, 3]] = Map[Median, med1xyz[[All, All, 3]], {2}];
 med2xyz = dt2xyz;
 med2xyz[[All, All, 3]] = Map[Median, med2xyz[[All, All, 3]], {2}];
 ratiosxyz = dt2xyz;
 ratiosxyz[[All, All, 3]] = 
 med1xyz[[All, All, 3]]/med2xyz[[All, All, 3]]

.. and plots:

 Row[ListPlot3D[#, BoxRatios -> 1, ImageSize -> 300] & /@ {Join @@ 
  med1xyz, Join @@ med2xyz, Join @@ ratiosxyz}, Spacer[5]]