The issue is whether a particular statistic's flaws are severe enough to damage its usefulness. These are the sorts of questions the critical ask. As a practical matter, it is virtually impossible for citizens in contemporary society to avoid statistics about social problems. Statistics arise in all sorts of ways, and in almost every case the people promoting statistics want to persuade us. Activists use statistics to convince us that social problems are serious and deserve our attention and concern.
Charities use statistics to encourage donations.
Politicians use statistics to persuade us that they understand society's problems and that they deserve our support. The media use statistics to make their reporting more dramatic, more convincing, more compelling. Corporations use statistics to promote and improve their products. Researchers use statistics to document their findings and support their conclusions. Those with whom we agree use statistics to reassure us that we're on the right side, while our opponents use statistics to try and convince us that we are wrong.