When it comes to lying about statistics, there are a few different ways that people tend to do it. The first way is by simply making up numbers. This is probably the most common way that people lie about statistics, and it's also the easiest to spot. If you see a statistic quoted that doesn't seem to make sense, or that you can't find any evidence of, then it's likely that the person quoting it made it up.
Another way people lie about statistics is by cherry-picking data. This means choosing only the data that supports their argument, while ignoring data that contradicts it. This is a bit more subtle than making up numbers outright, but it can be just as misleading. When looking at statistical arguments, be sure to consider all of the available data, not just the parts that support one side or the other.
Finally, sometimes people will use statistical techniques in dishonest ways in order to distort the data and mislead people. This can involve things like using flawed methods of sampling or analysis, misrepresenting results, or even outright fraud. If someone seems to be massaging the data in order to make their point, be skeptical and look into it further before accepting their claims.
In general, then, beware of anyone who quotes statistics without providing clear evidence for them. When evaluating statistical claims, always look at the underlying data and methods to make sure they hold up. And if something seems fishy, don't hesitate to call out lies and misinformation when you see them!