FOr most social science statistics, there is no need for calculus. Only economists really need calculus.
Statistics really is very simple. It’s just a lot of adding and subtracting, and a little bit of multiplying. It can all be understood intuitively, simply by looking at real world problems (which is what it is used for, anyway).
If you ask someone what they want to know (research question) and you ask them to gather the data to find out what they want to know, they will quickly invent stats for themselves. All you need after that is to show them the various techniques and the software to use, and how to understand the results.
Calculus is a more advanced course than stats. Far more advanced, in my opinion. People who are really interested in math should do that, but I think it has fewer applications in the real world than most people will need. People need stats far more often than calc.