# How can I create a distance matrix containing the mean absolute scores between each row?

Given the matrix

X1 X2 X3 X4 X5 [1,] 1 2 3 2 1 [2,] 2 3 4 4 3 [3,] 3 4 4 6 2 [4,] 4 5 5 5 4 [5,] 2 3 3 3 6 [6,] 5 6 2 8 4

I want to create a distance matrix containing the absolute mean difference between each row of each column. For example, the distance between X1 and X3 should be = 1.67 given that:

abs(1 - 3) + abs(2-4) + abs(3-4) + abs(4-5) + abs(2-3) + abs(5-2) = 10 / 6 = 1.67.

I HAVE TRIED using the designdist function in the vegan package this way:

The resulting distance for columns 1 and 3 is 0.666. The problem with this function is that it sums all the values in each column and then subtracts them. But I need to sum the absolute differences between each row (individually, absolute) and then divide it by N.