Well, look at that! Obviously, some filtering has to be made. No surprise there really. I would love the raw data actually not giving me those noise values, but that only works in a perfect world I guess. However, increasing it's height from surface improves the data as you can see, and those peaks really are far and few in between! Shouldn't be a problem at all filtering that out.
It's also obviously working at higher jogging/running speeds as the second graph shows... Although more noise, but still really only a few. Who will run forever anyway? :)