Find frequency for non-binned, weighted data

Question

Here is a tricky problem (or at least so I think). I need to create a histogram, but instead of having the data and it's frequency, I have repeated data (i.e. not binned) and some weight for each data.

One example:

Angle  | Weight    
90   ....  3/10     
93   ....  2/10   
180  ....  2/10    
180  ....  1/10    
95   ....  2/10    

I want to create a histogram with bin size 10. The y-values should be the sum of weighted frequencies for angles within a range. How can I do it? Preferably Mathematica or pseudocode...

Answer 1

In Mathematica 9, you can do it using the WeightedData function like this:

Histogram[WeightedData[{90, 93, 180, 180, 95}, {3/10, 2/10, 2/10, 1/10, 2/10}], {10}]

You should then get a graphic like this one: