There are over a billion Chinese people. If even one in a thousand is a robber, you can provide one million examples of Chinese robbers to appease the doubters. Most people think of stereotyping as “Here’s one example I heard of where the out-group does something bad,” and then you correct it with “But we can’t generalize about an entire group just from one example!” It’s less obvious that you may be able to provide literally one million examples of your false stereotype and still have it be a false stereotype. If you spend twelve hours a day on the task and can describe one crime every ten seconds, you can spend four months doing nothing but providing examples of burglarous Chinese – and still have absolutely no point.
If we’re really concerned about media bias, we need to think about Chinese Robber Fallacy as one of the media’s strongest weapons. There are lots of people – 300 million in America alone. No matter what point the media wants to make, there will be hundreds of salient examples. No matter how low-probability their outcome of interest is, they will never have to stop covering it if they don’t want to.