Box-Whisker Plot with 5 and 95 percentiles and non-symmetric distributions.

Dear all,

I have a 1000x2 matrix, M, where each column represents the data of two variables. I would like to plot a boxplot of the two distributions of the data, by specifying the length of the whiskers:

boxplot(M,'Whisker',w)

However, I would like the upper and lower whiskers to represent the 5th and 95th percentiles respectively. In doing so, I have two problems:

1. Both the distributions are highly non-symmetric, therefore, the suggestion provided here does not work, since the multiplier w is not the same for the upper and lower whiskers.
2. Apparently, w can only takes on a scalar value, therefore, I cannot specify different multipliers for different distributions. Is there a way around this problem. In a follow up question of the same Q&A they suggest to use hold on, however the output is not good because of the overlapping of the figures.

It would be great if w could take the form of a 2xsize(M,2) array, in order to specify a specific multiplier for each distribution and for both the upper and lower whisker separately. However, I was not capable of editing in this way the original "boxplot" function.

Thanks in advance,

Edoardo