I am not a sophisticated user of Mathematica, so this may be a naive Q&A issue.

I am seeking clarification on an interpretation of plotted data. I calculate a numeric integral as a parametric function and I plot the results,

The Table I am plotting shows a lot of scatter in the calculated results and, therefore, so does ListPlot.

The NumericQ plots are smooth and the resulting curves are significantly different from the ListPlot. I am ASSUMING based on what I have read that the issue is that NumericaQ uses a piecewise spline to form the resulting curve. Consequently, the integral across some domain may show a sharp deviation, especially at either end of the domain, away from the ListPlot points over this same domain.

Since I want to show the granularity of the calculated results, NumericQ artificially smooths this and should not be used.

Is this a correct interpretation of what may be happening?