Uncertainty in horological modelling is quantified by MCS. MCS results are generally presented in the form of CDF and histograms. How histograms/CDF/Quantiles reflect uncertainty?
I am not sure that histograms can provide you with anything other than visual displays of your data. More importantly, the binning process based on kernel densities are usually automated, so that you cannot be certain that the visual display will always look the same, even after altering the binning procedure. Again, histograms are good visual depictions of the data, but they do not provide you with the sort of details you are looking for. You may need to examine the distribution of the data using standard statistical measures such as percentiles, etc.