How to Model Data Where the Y-Axis = Percentage

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I have a situation where I have a bunch of values, and the percentage of each value occurring. The values are ratios of one type of object to another type of object showing up at an event. I found these ratios and the percentage of each occurring by running a computer simulation a couple thousand times.

I'm looking for the best way to visually model this on a graph. I considered a simple X by Y graph, where the values are the X-axis and the percentage of each value occurring is the Y-axis.

If I were to do this, would it be correct to connect the points? The problem I see with this is that each infinitesimal point on the line would have its own percentage of occurring, and this would lead to an infinite sum of percentage values (when the sum should only be 100).

If this is wrong to do, would it be better to just leave the dots unconnected? Or am I looking at this the wrong way? Would something like a bar graph be better suited for this situation?

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The reason for connecting the points is to help estimating the $y$ value for $x$ values between the points. As your $x$ values are discrete there is no reason for this, so a bar graph is more appropriate.