Someone claims, “Sure, an outlier in a small dataset can have a huge effect on results. But in a large dataset, it’s not a big deal, since once case out of 5,000 is not going to have that big of an...

Someone claims, “Sure, an outlier in a small dataset can have a huge effect on results. But in a large dataset, it’s not a big deal, since once case out of 5,000 is not going to have that big of an effect.” Respond to this, explaining why this claim is problematic.