It depends on the number of steps you have, target domain of the application and familiarity of the users to use such sliders.
If there are many levels of segregation you allow, then putting that in a drop down would be cumbersome for the user to use it. On the other hand, if you have very few steps then sliders would not really slide per say. They would just be steppers.
I have no backing data, but I have personally never found sliders very usable. They look good for an E-Commerce site to narrow down the shirt you want to buy, but I rarely find myself using those. I would personally prefer a min-max textinput to quickly fill data and move along.
That is where the frequency of use and target domain comes to play. If I am designing something like a back office system and I am going to use it daily, then it will lose out on efficiency and quick operation. In such case even the drop down will lose out because data hiding.
These choices will bring their caveats, unless explicitly required, I will not recommend a slider. However, just to reiterate, this is personal opinion and I have no backing data.