Starting with your first column of numbers I get different result.
But I have to admit that I do not know why I would do this calculation.
x1 = c(54.6, 60.6, 56.5, 55.5, 75.2, 84.8, 75.6, 101.9,
55.3, 70.6, 59.3, 78.4, 87, 84.2, 73.7, 108.6)
x2 = order(x1)
x2
#> [1] 1 9 4 3 11 2 10 15 5 7 12 14 6 13 8 16
x3 = x2-mean(x2)
x3
#> [1] -7.5 0.5 -4.5 -5.5 2.5 -6.5 1.5 6.5 -3.5 -1.5 3.5 5.5 -2.5 4.5 -0.5
#> [16] 7.5
Created on 2020-06-15 by the reprex package (v0.3.0)