To measure how Democratic a nation is I used the Democracy Index which is complied by the Economist Intelligence Unit.
To measure economic equality i used the Gini coefficient as put out by the world bank
I decided to do a scatter plot of those two pieces of data and see if any obvious correlations could be seen.
First i did all nations.
Not seeing anything obvious here. So next i decided to just look at poorer nations. To do this i only looked at non-OECD nations.
So after all that work the results could best be described as nothing. I didn't find any obvious correlation between level of Democracy in a country and the level of economic equality in that country.
This doesn't mean that there is not some type of correlation. I would almost certainly imagine there is some type of link between these two things but that this very simple exercise didn't find anything. Both the indexes i used have their own issues which you can read about on the wikipedia pages i linked to. Also we would probably need to look at the data over time if we wanted to really know how Democracy might influence economic equality.
If you want to look at the data i used here is a link to the google doc
Also I would love to hear what people think about the connection between Democracy and economic equality in the comments. Do you think there might be a link? Why or why not?