How to distort data in a clever way?
The short answer is: don't do that; anything you come up with on your own is likely to leak information in subtle ways.

The longer answer is: talk to your data protection authority.  Only use a method if they consider it acceptable.  (Hint: it's very likely that the answer you will get back is "no, don't do that".)

The technical details are: there is an entire body of work on how to anonymize or de-identify data, so it can be revealed in a way that can't be linked to the people whom the data is about.  However, there's a long history of attempts to do this that failed; where it was actually possible to re-identify the people, violating their privacy.  See the following research paper:

Myths and Fallacies of "Personally Identifiable Information".  Arvind Narayanan and Vitaly Shmatikov. Communications of the ACM, 53:6, June 2010.

If you wanted to consider a scheme to do what you want, you'd need to tell us a lot about the nature of the data, what it reflects, what the privacy interests are, how the data is distributed, what other external sources might be available that might enable re-identification, and many other details.  Since you haven't provided any of that information, your specific question isn't answerable in its current form.

But ultimately, I hope I've convinced that what you're trying to do is a bad idea.  Don't endanger people's data by going "cowboy" with some homebrew scheme to obfuscate the data; instead, talk to your data protection authority about what their requirements are.