Median, perhaps (if there are an odd number of people). Mean, no, unless you're sure the data follows a Gaussian distribution or is otherwise perfectly symmetrically distributed, and that in itself is a result, not a given.
If you had a population of four people with FancyQs of 80, 81, 82, 83, and 120, the mean is 89.2, the median 82.
There are four people, or 80% of the population, below the mean, and one person, or 20% of the population, above it. 50% are equal or above the median of 82, and 50% are equal or below it.