The problem here is that "mean" is a poor average. For hotels, if you're rating in 10 different categories, you really want a single 0/10 to bring the overall score down by way more than one point.

The opposite situation can also occur. At my university, entrance scholarships were decided a few years ago based on students' aggregate score across 25ish dimensions (I can't remember the exact number) where students were each rated 1-4. Consequently a student who was absolutely exceptional in one area would be beaten out by a student who was marginally above average in all the other areas. I suggested that rather than scoring 1-4 the scores should be 1/2/5/25 instead.